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Finding the Fourth Proportional to 515.80, 772.14 and 503.38

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Solution

The fourth proportional to 515.80, 772.14 and 503.38 is: 753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.80 : 772.14 = 503.38 : x
  2. Step 2: Convert to fraction form
    515.80/772.14 = 503.38/x
  3. Step 3: Cross multiply
    515.80x = 772.14 × 503.38
  4. Step 4: Simplify right side
    515.80x = 388,679.83
  5. Step 5: Solve for x
    x = 388,679.83/515.80
  6. Step 6: Final answer
    x = 753.55

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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.