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Finding the Fourth Proportional to 1,165.47, 1,608.19 and 641.53

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Solution

The fourth proportional to 1,165.47, 1,608.19 and 641.53 is: 885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.47 : 1,608.19 = 641.53 : x
  2. Step 2: Convert to fraction form
    1,165.47/1,608.19 = 641.53/x
  3. Step 3: Cross multiply
    1,165.47x = 1,608.19 × 641.53
  4. Step 4: Simplify right side
    1,165.47x = 1,031,702.13
  5. Step 5: Solve for x
    x = 1,031,702.13/1,165.47
  6. Step 6: Final answer
    x = 885.22

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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.