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Finding the Fourth Proportional to 937.14, 1,402.23 and 588.84

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Solution

The fourth proportional to 937.14, 1,402.23 and 588.84 is: 881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.14 : 1,402.23 = 588.84 : x
  2. Step 2: Convert to fraction form
    937.14/1,402.23 = 588.84/x
  3. Step 3: Cross multiply
    937.14x = 1,402.23 × 588.84
  4. Step 4: Simplify right side
    937.14x = 825,689.11
  5. Step 5: Solve for x
    x = 825,689.11/937.14
  6. Step 6: Final answer
    x = 881.07

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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.