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Finding the Fourth Proportional to 829.25, 1,144.49 and 497.78

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Solution

The fourth proportional to 829.25, 1,144.49 and 497.78 is: 687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.25 : 1,144.49 = 497.78 : x
  2. Step 2: Convert to fraction form
    829.25/1,144.49 = 497.78/x
  3. Step 3: Cross multiply
    829.25x = 1,144.49 × 497.78
  4. Step 4: Simplify right side
    829.25x = 569,700.31
  5. Step 5: Solve for x
    x = 569,700.31/829.25
  6. Step 6: Final answer
    x = 687.01

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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.