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Finding the Fourth Proportional to 1,200.38, 1,656.52 and 648.38

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Solution

The fourth proportional to 1,200.38, 1,656.52 and 648.38 is: 894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.38 : 1,656.52 = 648.38 : x
  2. Step 2: Convert to fraction form
    1,200.38/1,656.52 = 648.38/x
  3. Step 3: Cross multiply
    1,200.38x = 1,656.52 × 648.38
  4. Step 4: Simplify right side
    1,200.38x = 1,074,044.53
  5. Step 5: Solve for x
    x = 1,074,044.53/1,200.38
  6. Step 6: Final answer
    x = 894.76

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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.