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Finding the Fourth Proportional to 837.52, 1,156.17 and 558.22

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Solution

The fourth proportional to 837.52, 1,156.17 and 558.22 is: 770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.52 : 1,156.17 = 558.22 : x
  2. Step 2: Convert to fraction form
    837.52/1,156.17 = 558.22/x
  3. Step 3: Cross multiply
    837.52x = 1,156.17 × 558.22
  4. Step 4: Simplify right side
    837.52x = 645,390.04
  5. Step 5: Solve for x
    x = 645,390.04/837.52
  6. Step 6: Final answer
    x = 770.60

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Double scale
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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.