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Finding the Fourth Proportional to 1,019.97, 1,529.72 and 471.63

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Solution

The fourth proportional to 1,019.97, 1,529.72 and 471.63 is: 707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.97 : 1,529.72 = 471.63 : x
  2. Step 2: Convert to fraction form
    1,019.97/1,529.72 = 471.63/x
  3. Step 3: Cross multiply
    1,019.97x = 1,529.72 × 471.63
  4. Step 4: Simplify right side
    1,019.97x = 721,459.49
  5. Step 5: Solve for x
    x = 721,459.49/1,019.97
  6. Step 6: Final answer
    x = 707.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.