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Finding the Fourth Proportional to 758.87, 1,136.48 and 527.15

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Solution

The fourth proportional to 758.87, 1,136.48 and 527.15 is: 789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.87 : 1,136.48 = 527.15 : x
  2. Step 2: Convert to fraction form
    758.87/1,136.48 = 527.15/x
  3. Step 3: Cross multiply
    758.87x = 1,136.48 × 527.15
  4. Step 4: Simplify right side
    758.87x = 599,087.11
  5. Step 5: Solve for x
    x = 599,087.11/758.87
  6. Step 6: Final answer
    x = 789.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.