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Finding the Fourth Proportional to 652.87, 977.78 and 514.97

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Solution

The fourth proportional to 652.87, 977.78 and 514.97 is: 771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.87 : 977.78 = 514.97 : x
  2. Step 2: Convert to fraction form
    652.87/977.78 = 514.97/x
  3. Step 3: Cross multiply
    652.87x = 977.78 × 514.97
  4. Step 4: Simplify right side
    652.87x = 503,522.48
  5. Step 5: Solve for x
    x = 503,522.48/652.87
  6. Step 6: Final answer
    x = 771.25

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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.