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Finding the Fourth Proportional to 829.25, 1,144.32 and 497.62

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Solution

The fourth proportional to 829.25, 1,144.32 and 497.62 is: 686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.25 : 1,144.32 = 497.62 : x
  2. Step 2: Convert to fraction form
    829.25/1,144.32 = 497.62/x
  3. Step 3: Cross multiply
    829.25x = 1,144.32 × 497.62
  4. Step 4: Simplify right side
    829.25x = 569,436.52
  5. Step 5: Solve for x
    x = 569,436.52/829.25
  6. Step 6: Final answer
    x = 686.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.