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Finding the Fourth Proportional to 913.12, 1,259.91 and 514.78

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Solution

The fourth proportional to 913.12, 1,259.91 and 514.78 is: 710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.12 : 1,259.91 = 514.78 : x
  2. Step 2: Convert to fraction form
    913.12/1,259.91 = 514.78/x
  3. Step 3: Cross multiply
    913.12x = 1,259.91 × 514.78
  4. Step 4: Simplify right side
    913.12x = 648,576.47
  5. Step 5: Solve for x
    x = 648,576.47/913.12
  6. Step 6: Final answer
    x = 710.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.