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Finding the Fourth Proportional to 934.81, 1,402.53 and 587.73

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Solution

The fourth proportional to 934.81, 1,402.53 and 587.73 is: 881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.81 : 1,402.53 = 587.73 : x
  2. Step 2: Convert to fraction form
    934.81/1,402.53 = 587.73/x
  3. Step 3: Cross multiply
    934.81x = 1,402.53 × 587.73
  4. Step 4: Simplify right side
    934.81x = 824,310.61
  5. Step 5: Solve for x
    x = 824,310.61/934.81
  6. Step 6: Final answer
    x = 881.80

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