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Finding the Fourth Proportional to 705.60, 1,057.14 and 381.24

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Solution

The fourth proportional to 705.60, 1,057.14 and 381.24 is: 571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 1,057.14 = 381.24 : x
  2. Step 2: Convert to fraction form
    705.60/1,057.14 = 381.24/x
  3. Step 3: Cross multiply
    705.60x = 1,057.14 × 381.24
  4. Step 4: Simplify right side
    705.60x = 403,024.05
  5. Step 5: Solve for x
    x = 403,024.05/705.60
  6. Step 6: Final answer
    x = 571.18

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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.