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Finding the Fourth Proportional to 829.24, 1,144.40 and 497.75

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Solution

The fourth proportional to 829.24, 1,144.40 and 497.75 is: 686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.24 : 1,144.40 = 497.75 : x
  2. Step 2: Convert to fraction form
    829.24/1,144.40 = 497.75/x
  3. Step 3: Cross multiply
    829.24x = 1,144.40 × 497.75
  4. Step 4: Simplify right side
    829.24x = 569,616.89
  5. Step 5: Solve for x
    x = 569,616.89/829.24
  6. Step 6: Final answer
    x = 686.92

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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.