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Finding the Fourth Proportional to 912.87, 1,259.60 and 514.41

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Solution

The fourth proportional to 912.87, 1,259.60 and 514.41 is: 709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.87 : 1,259.60 = 514.41 : x
  2. Step 2: Convert to fraction form
    912.87/1,259.60 = 514.41/x
  3. Step 3: Cross multiply
    912.87x = 1,259.60 × 514.41
  4. Step 4: Simplify right side
    912.87x = 647,948.26
  5. Step 5: Solve for x
    x = 647,948.26/912.87
  6. Step 6: Final answer
    x = 709.79

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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.