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Finding the Fourth Proportional to 824.48, 1,235.28 and 517.04

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Solution

The fourth proportional to 824.48, 1,235.28 and 517.04 is: 774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.48 : 1,235.28 = 517.04 : x
  2. Step 2: Convert to fraction form
    824.48/1,235.28 = 517.04/x
  3. Step 3: Cross multiply
    824.48x = 1,235.28 × 517.04
  4. Step 4: Simplify right side
    824.48x = 638,689.17
  5. Step 5: Solve for x
    x = 638,689.17/824.48
  6. Step 6: Final answer
    x = 774.66

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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.