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Finding the Fourth Proportional to 944.30, 1,416.45 and 512.30

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Solution

The fourth proportional to 944.30, 1,416.45 and 512.30 is: 768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.30 : 1,416.45 = 512.30 : x
  2. Step 2: Convert to fraction form
    944.30/1,416.45 = 512.30/x
  3. Step 3: Cross multiply
    944.30x = 1,416.45 × 512.30
  4. Step 4: Simplify right side
    944.30x = 725,647.34
  5. Step 5: Solve for x
    x = 725,647.34/944.30
  6. Step 6: Final answer
    x = 768.45

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Double scale
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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.