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Finding the Fourth Proportional to 1,019.29, 1,529.20 and 471.87

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Solution

The fourth proportional to 1,019.29, 1,529.20 and 471.87 is: 707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.29 : 1,529.20 = 471.87 : x
  2. Step 2: Convert to fraction form
    1,019.29/1,529.20 = 471.87/x
  3. Step 3: Cross multiply
    1,019.29x = 1,529.20 × 471.87
  4. Step 4: Simplify right side
    1,019.29x = 721,575.96
  5. Step 5: Solve for x
    x = 721,575.96/1,019.29
  6. Step 6: Final answer
    x = 707.92

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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.