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Finding the Fourth Proportional to 750.52, 1,035.64 and 418.96

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Solution

The fourth proportional to 750.52, 1,035.64 and 418.96 is: 578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.52 : 1,035.64 = 418.96 : x
  2. Step 2: Convert to fraction form
    750.52/1,035.64 = 418.96/x
  3. Step 3: Cross multiply
    750.52x = 1,035.64 × 418.96
  4. Step 4: Simplify right side
    750.52x = 433,891.73
  5. Step 5: Solve for x
    x = 433,891.73/750.52
  6. Step 6: Final answer
    x = 578.12

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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.