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Finding the Fourth Proportional to 829.55, 1,144.77 and 497.86

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Solution

The fourth proportional to 829.55, 1,144.77 and 497.86 is: 687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.55 : 1,144.77 = 497.86 : x
  2. Step 2: Convert to fraction form
    829.55/1,144.77 = 497.86/x
  3. Step 3: Cross multiply
    829.55x = 1,144.77 × 497.86
  4. Step 4: Simplify right side
    829.55x = 569,935.19
  5. Step 5: Solve for x
    x = 569,935.19/829.55
  6. Step 6: Final answer
    x = 687.04

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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.