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Finding the Fourth Proportional to 836.91, 1,155.36 and 588.42

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Solution

The fourth proportional to 836.91, 1,155.36 and 588.42 is: 812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,155.36 = 588.42 : x
  2. Step 2: Convert to fraction form
    836.91/1,155.36 = 588.42/x
  3. Step 3: Cross multiply
    836.91x = 1,155.36 × 588.42
  4. Step 4: Simplify right side
    836.91x = 679,836.93
  5. Step 5: Solve for x
    x = 679,836.93/836.91
  6. Step 6: Final answer
    x = 812.32

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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.