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Finding the Fourth Proportional to 829.02, 1,242.41 and 315.74

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Solution

The fourth proportional to 829.02, 1,242.41 and 315.74 is: 473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.02 : 1,242.41 = 315.74 : x
  2. Step 2: Convert to fraction form
    829.02/1,242.41 = 315.74/x
  3. Step 3: Cross multiply
    829.02x = 1,242.41 × 315.74
  4. Step 4: Simplify right side
    829.02x = 392,278.53
  5. Step 5: Solve for x
    x = 392,278.53/829.02
  6. Step 6: Final answer
    x = 473.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.