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Finding the Fourth Proportional to 1,165.52, 1,607.52 and 1,032.88

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Solution

The fourth proportional to 1,165.52, 1,607.52 and 1,032.88 is: 1,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.52 : 1,607.52 = 1,032.88 : x
  2. Step 2: Convert to fraction form
    1,165.52/1,607.52 = 1,032.88/x
  3. Step 3: Cross multiply
    1,165.52x = 1,607.52 × 1,032.88
  4. Step 4: Simplify right side
    1,165.52x = 1,660,375.26
  5. Step 5: Solve for x
    x = 1,660,375.26/1,165.52
  6. Step 6: Final answer
    x = 1,424.58

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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.