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Finding the Fourth Proportional to 762.96, 1,144.48 and 243.01

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Solution

The fourth proportional to 762.96, 1,144.48 and 243.01 is: 364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.96 : 1,144.48 = 243.01 : x
  2. Step 2: Convert to fraction form
    762.96/1,144.48 = 243.01/x
  3. Step 3: Cross multiply
    762.96x = 1,144.48 × 243.01
  4. Step 4: Simplify right side
    762.96x = 278,114.36
  5. Step 5: Solve for x
    x = 278,114.36/762.96
  6. Step 6: Final answer
    x = 364.52

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.