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Finding the Fourth Proportional to 1,020.14, 1,530.06 and 557.76

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Solution

The fourth proportional to 1,020.14, 1,530.06 and 557.76 is: 836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.14 : 1,530.06 = 557.76 : x
  2. Step 2: Convert to fraction form
    1,020.14/1,530.06 = 557.76/x
  3. Step 3: Cross multiply
    1,020.14x = 1,530.06 × 557.76
  4. Step 4: Simplify right side
    1,020.14x = 853,410.31
  5. Step 5: Solve for x
    x = 853,410.31/1,020.14
  6. Step 6: Final answer
    x = 836.56

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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.