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Finding the Fourth Proportional to 829.53, 1,144.67 and 497.88

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Solution

The fourth proportional to 829.53, 1,144.67 and 497.88 is: 687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.53 : 1,144.67 = 497.88 : x
  2. Step 2: Convert to fraction form
    829.53/1,144.67 = 497.88/x
  3. Step 3: Cross multiply
    829.53x = 1,144.67 × 497.88
  4. Step 4: Simplify right side
    829.53x = 569,905.81
  5. Step 5: Solve for x
    x = 569,905.81/829.53
  6. Step 6: Final answer
    x = 687.02

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Why These Related Problems?

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