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Finding the Fourth Proportional to 674.79, 1,006.22 and 592.86

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Solution

The fourth proportional to 674.79, 1,006.22 and 592.86 is: 884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.79 : 1,006.22 = 592.86 : x
  2. Step 2: Convert to fraction form
    674.79/1,006.22 = 592.86/x
  3. Step 3: Cross multiply
    674.79x = 1,006.22 × 592.86
  4. Step 4: Simplify right side
    674.79x = 596,544.62
  5. Step 5: Solve for x
    x = 596,544.62/674.79
  6. Step 6: Final answer
    x = 884.04

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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.