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Finding the Fourth Proportional to 837.16, 1,155.18 and 588.76

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Solution

The fourth proportional to 837.16, 1,155.18 and 588.76 is: 812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.16 : 1,155.18 = 588.76 : x
  2. Step 2: Convert to fraction form
    837.16/1,155.18 = 588.76/x
  3. Step 3: Cross multiply
    837.16x = 1,155.18 × 588.76
  4. Step 4: Simplify right side
    837.16x = 680,123.78
  5. Step 5: Solve for x
    x = 680,123.78/837.16
  6. Step 6: Final answer
    x = 812.42

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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.