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Finding the Fourth Proportional to 937.64, 1,292.73 and 642.38

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Solution

The fourth proportional to 937.64, 1,292.73 and 642.38 is: 885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.64 : 1,292.73 = 642.38 : x
  2. Step 2: Convert to fraction form
    937.64/1,292.73 = 642.38/x
  3. Step 3: Cross multiply
    937.64x = 1,292.73 × 642.38
  4. Step 4: Simplify right side
    937.64x = 830,423.90
  5. Step 5: Solve for x
    x = 830,423.90/937.64
  6. Step 6: Final answer
    x = 885.65

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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.