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Finding the Fourth Proportional to 1,056.43, 1,585.14 and 471.37

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Solution

The fourth proportional to 1,056.43, 1,585.14 and 471.37 is: 707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.43 : 1,585.14 = 471.37 : x
  2. Step 2: Convert to fraction form
    1,056.43/1,585.14 = 471.37/x
  3. Step 3: Cross multiply
    1,056.43x = 1,585.14 × 471.37
  4. Step 4: Simplify right side
    1,056.43x = 747,177.16
  5. Step 5: Solve for x
    x = 747,177.16/1,056.43
  6. Step 6: Final answer
    x = 707.27

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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.