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Finding the Fourth Proportional to 756.34, 1,134.80 and 515.14

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Solution

The fourth proportional to 756.34, 1,134.80 and 515.14 is: 772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.34 : 1,134.80 = 515.14 : x
  2. Step 2: Convert to fraction form
    756.34/1,134.80 = 515.14/x
  3. Step 3: Cross multiply
    756.34x = 1,134.80 × 515.14
  4. Step 4: Simplify right side
    756.34x = 584,580.87
  5. Step 5: Solve for x
    x = 584,580.87/756.34
  6. Step 6: Final answer
    x = 772.91

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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.