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Finding the Fourth Proportional to 769.92, 1,062.72 and 508.64

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Solution

The fourth proportional to 769.92, 1,062.72 and 508.64 is: 702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.92 : 1,062.72 = 508.64 : x
  2. Step 2: Convert to fraction form
    769.92/1,062.72 = 508.64/x
  3. Step 3: Cross multiply
    769.92x = 1,062.72 × 508.64
  4. Step 4: Simplify right side
    769.92x = 540,541.90
  5. Step 5: Solve for x
    x = 540,541.90/769.92
  6. Step 6: Final answer
    x = 702.08

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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.