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Finding the Fourth Proportional to 756.78, 1,134.93 and 514.86

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Solution

The fourth proportional to 756.78, 1,134.93 and 514.86 is: 772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.78 : 1,134.93 = 514.86 : x
  2. Step 2: Convert to fraction form
    756.78/1,134.93 = 514.86/x
  3. Step 3: Cross multiply
    756.78x = 1,134.93 × 514.86
  4. Step 4: Simplify right side
    756.78x = 584,330.06
  5. Step 5: Solve for x
    x = 584,330.06/756.78
  6. Step 6: Final answer
    x = 772.13

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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.