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Finding the Fourth Proportional to 1,253.59, 1,880.28 and 731.95

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Solution

The fourth proportional to 1,253.59, 1,880.28 and 731.95 is: 1,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.59 : 1,880.28 = 731.95 : x
  2. Step 2: Convert to fraction form
    1,253.59/1,880.28 = 731.95/x
  3. Step 3: Cross multiply
    1,253.59x = 1,880.28 × 731.95
  4. Step 4: Simplify right side
    1,253.59x = 1,376,266.25
  5. Step 5: Solve for x
    x = 1,376,266.25/1,253.59
  6. Step 6: Final answer
    x = 1,097.86

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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.