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Finding the Fourth Proportional to 1,132.26, 1,698.54 and 515.94

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Solution

The fourth proportional to 1,132.26, 1,698.54 and 515.94 is: 773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.26 : 1,698.54 = 515.94 : x
  2. Step 2: Convert to fraction form
    1,132.26/1,698.54 = 515.94/x
  3. Step 3: Cross multiply
    1,132.26x = 1,698.54 × 515.94
  4. Step 4: Simplify right side
    1,132.26x = 876,344.73
  5. Step 5: Solve for x
    x = 876,344.73/1,132.26
  6. Step 6: Final answer
    x = 773.98

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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.