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Finding the Fourth Proportional to 912.73, 1,259.53 and 514.41

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Solution

The fourth proportional to 912.73, 1,259.53 and 514.41 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.73 : 1,259.53 = 514.41 : x
  2. Step 2: Convert to fraction form
    912.73/1,259.53 = 514.41/x
  3. Step 3: Cross multiply
    912.73x = 1,259.53 × 514.41
  4. Step 4: Simplify right side
    912.73x = 647,914.83
  5. Step 5: Solve for x
    x = 647,914.83/912.73
  6. Step 6: Final answer
    x = 709.86

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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.