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Finding the Fourth Proportional to 912.47, 1,259.36 and 514.31

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Solution

The fourth proportional to 912.47, 1,259.36 and 514.31 is: 709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.47 : 1,259.36 = 514.31 : x
  2. Step 2: Convert to fraction form
    912.47/1,259.36 = 514.31/x
  3. Step 3: Cross multiply
    912.47x = 1,259.36 × 514.31
  4. Step 4: Simplify right side
    912.47x = 647,701.44
  5. Step 5: Solve for x
    x = 647,701.44/912.47
  6. Step 6: Final answer
    x = 709.83

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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.