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Finding the Fourth Proportional to 1,153.78, 1,731.24 and 495.47

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Solution

The fourth proportional to 1,153.78, 1,731.24 and 495.47 is: 743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.78 : 1,731.24 = 495.47 : x
  2. Step 2: Convert to fraction form
    1,153.78/1,731.24 = 495.47/x
  3. Step 3: Cross multiply
    1,153.78x = 1,731.24 × 495.47
  4. Step 4: Simplify right side
    1,153.78x = 857,772.07
  5. Step 5: Solve for x
    x = 857,772.07/1,153.78
  6. Step 6: Final answer
    x = 743.44

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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.