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Finding the Fourth Proportional to 1,057.12, 1,585.67 and 471.98

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Solution

The fourth proportional to 1,057.12, 1,585.67 and 471.98 is: 707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.12 : 1,585.67 = 471.98 : x
  2. Step 2: Convert to fraction form
    1,057.12/1,585.67 = 471.98/x
  3. Step 3: Cross multiply
    1,057.12x = 1,585.67 × 471.98
  4. Step 4: Simplify right side
    1,057.12x = 748,406.13
  5. Step 5: Solve for x
    x = 748,406.13/1,057.12
  6. Step 6: Final answer
    x = 707.97

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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.