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Finding the Fourth Proportional to 1,197.30, 1,652.24 and 731.55

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Solution

The fourth proportional to 1,197.30, 1,652.24 and 731.55 is: 1,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.30 : 1,652.24 = 731.55 : x
  2. Step 2: Convert to fraction form
    1,197.30/1,652.24 = 731.55/x
  3. Step 3: Cross multiply
    1,197.30x = 1,652.24 × 731.55
  4. Step 4: Simplify right side
    1,197.30x = 1,208,696.17
  5. Step 5: Solve for x
    x = 1,208,696.17/1,197.30
  6. Step 6: Final answer
    x = 1,009.52

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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.