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Finding the Fourth Proportional to 1,119.01, 1,677.46 and 378.10

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Solution

The fourth proportional to 1,119.01, 1,677.46 and 378.10 is: 566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.01 : 1,677.46 = 378.10 : x
  2. Step 2: Convert to fraction form
    1,119.01/1,677.46 = 378.10/x
  3. Step 3: Cross multiply
    1,119.01x = 1,677.46 × 378.10
  4. Step 4: Simplify right side
    1,119.01x = 634,237.35
  5. Step 5: Solve for x
    x = 634,237.35/1,119.01
  6. Step 6: Final answer
    x = 566.79

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Half scale
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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.