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Finding the Fourth Proportional to 836.61, 1,254.93 and 588.80

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Solution

The fourth proportional to 836.61, 1,254.93 and 588.80 is: 883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.61 : 1,254.93 = 588.80 : x
  2. Step 2: Convert to fraction form
    836.61/1,254.93 = 588.80/x
  3. Step 3: Cross multiply
    836.61x = 1,254.93 × 588.80
  4. Step 4: Simplify right side
    836.61x = 738,898.17
  5. Step 5: Solve for x
    x = 738,898.17/836.61
  6. Step 6: Final answer
    x = 883.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.