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Finding the Fourth Proportional to 510.86, 766.61 and 508.97

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Solution

The fourth proportional to 510.86, 766.61 and 508.97 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 766.61 = 508.97 : x
  2. Step 2: Convert to fraction form
    510.86/766.61 = 508.97/x
  3. Step 3: Cross multiply
    510.86x = 766.61 × 508.97
  4. Step 4: Simplify right side
    510.86x = 390,181.32
  5. Step 5: Solve for x
    x = 390,181.32/510.86
  6. Step 6: Final answer
    x = 763.78

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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.