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Finding the Fourth Proportional to 691.04, 1,032.14 and 593.84

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Solution

The fourth proportional to 691.04, 1,032.14 and 593.84 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.04 : 1,032.14 = 593.84 : x
  2. Step 2: Convert to fraction form
    691.04/1,032.14 = 593.84/x
  3. Step 3: Cross multiply
    691.04x = 1,032.14 × 593.84
  4. Step 4: Simplify right side
    691.04x = 612,926.02
  5. Step 5: Solve for x
    x = 612,926.02/691.04
  6. Step 6: Final answer
    x = 886.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.