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Finding the Fourth Proportional to 836.94, 1,154.61 and 588.43

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Solution

The fourth proportional to 836.94, 1,154.61 and 588.43 is: 811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.94 : 1,154.61 = 588.43 : x
  2. Step 2: Convert to fraction form
    836.94/1,154.61 = 588.43/x
  3. Step 3: Cross multiply
    836.94x = 1,154.61 × 588.43
  4. Step 4: Simplify right side
    836.94x = 679,402.11
  5. Step 5: Solve for x
    x = 679,402.11/836.94
  6. Step 6: Final answer
    x = 811.77

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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.