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Finding the Fourth Proportional to 742.87, 1,024.02 and 556.08

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Solution

The fourth proportional to 742.87, 1,024.02 and 556.08 is: 766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.87 : 1,024.02 = 556.08 : x
  2. Step 2: Convert to fraction form
    742.87/1,024.02 = 556.08/x
  3. Step 3: Cross multiply
    742.87x = 1,024.02 × 556.08
  4. Step 4: Simplify right side
    742.87x = 569,437.04
  5. Step 5: Solve for x
    x = 569,437.04/742.87
  6. Step 6: Final answer
    x = 766.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.