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Finding the Fourth Proportional to 937.44, 1,292.52 and 642.24

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Solution

The fourth proportional to 937.44, 1,292.52 and 642.24 is: 885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.44 : 1,292.52 = 642.24 : x
  2. Step 2: Convert to fraction form
    937.44/1,292.52 = 642.24/x
  3. Step 3: Cross multiply
    937.44x = 1,292.52 × 642.24
  4. Step 4: Simplify right side
    937.44x = 830,108.04
  5. Step 5: Solve for x
    x = 830,108.04/937.44
  6. Step 6: Final answer
    x = 885.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.