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Finding the Fourth Proportional to 652.89, 977.44 and 508.17

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Solution

The fourth proportional to 652.89, 977.44 and 508.17 is: 760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.89 : 977.44 = 508.17 : x
  2. Step 2: Convert to fraction form
    652.89/977.44 = 508.17/x
  3. Step 3: Cross multiply
    652.89x = 977.44 × 508.17
  4. Step 4: Simplify right side
    652.89x = 496,705.68
  5. Step 5: Solve for x
    x = 496,705.68/652.89
  6. Step 6: Final answer
    x = 760.78

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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.