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Finding the Fourth Proportional to 829.48, 1,144.30 and 497.33

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Solution

The fourth proportional to 829.48, 1,144.30 and 497.33 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.48 : 1,144.30 = 497.33 : x
  2. Step 2: Convert to fraction form
    829.48/1,144.30 = 497.33/x
  3. Step 3: Cross multiply
    829.48x = 1,144.30 × 497.33
  4. Step 4: Simplify right side
    829.48x = 569,096.77
  5. Step 5: Solve for x
    x = 569,096.77/829.48
  6. Step 6: Final answer
    x = 686.09

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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.