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Finding the Fourth Proportional to 837.42, 1,156.24 and 558.31

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Solution

The fourth proportional to 837.42, 1,156.24 and 558.31 is: 770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.42 : 1,156.24 = 558.31 : x
  2. Step 2: Convert to fraction form
    837.42/1,156.24 = 558.31/x
  3. Step 3: Cross multiply
    837.42x = 1,156.24 × 558.31
  4. Step 4: Simplify right side
    837.42x = 645,542.55
  5. Step 5: Solve for x
    x = 645,542.55/837.42
  6. Step 6: Final answer
    x = 770.87

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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.