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Finding the Fourth Proportional to 837.97, 1,156.42 and 464.97

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Solution

The fourth proportional to 837.97, 1,156.42 and 464.97 is: 641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.97 : 1,156.42 = 464.97 : x
  2. Step 2: Convert to fraction form
    837.97/1,156.42 = 464.97/x
  3. Step 3: Cross multiply
    837.97x = 1,156.42 × 464.97
  4. Step 4: Simplify right side
    837.97x = 537,702.94
  5. Step 5: Solve for x
    x = 537,702.94/837.97
  6. Step 6: Final answer
    x = 641.68

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1.5x scale

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.