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Finding the Fourth Proportional to 1,020.57, 1,529.12 and 558.68

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Solution

The fourth proportional to 1,020.57, 1,529.12 and 558.68 is: 837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.57 : 1,529.12 = 558.68 : x
  2. Step 2: Convert to fraction form
    1,020.57/1,529.12 = 558.68/x
  3. Step 3: Cross multiply
    1,020.57x = 1,529.12 × 558.68
  4. Step 4: Simplify right side
    1,020.57x = 854,278.32
  5. Step 5: Solve for x
    x = 854,278.32/1,020.57
  6. Step 6: Final answer
    x = 837.06

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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.