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Finding the Fourth Proportional to 836.94, 1,154.61 and 588.27

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Solution

The fourth proportional to 836.94, 1,154.61 and 588.27 is: 811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.94 : 1,154.61 = 588.27 : x
  2. Step 2: Convert to fraction form
    836.94/1,154.61 = 588.27/x
  3. Step 3: Cross multiply
    836.94x = 1,154.61 × 588.27
  4. Step 4: Simplify right side
    836.94x = 679,222.42
  5. Step 5: Solve for x
    x = 679,222.42/836.94
  6. Step 6: Final answer
    x = 811.55

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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.