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Finding the Fourth Proportional to 693.90, 1,040.17 and 346.71

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Solution

The fourth proportional to 693.90, 1,040.17 and 346.71 is: 519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.90 : 1,040.17 = 346.71 : x
  2. Step 2: Convert to fraction form
    693.90/1,040.17 = 346.71/x
  3. Step 3: Cross multiply
    693.90x = 1,040.17 × 346.71
  4. Step 4: Simplify right side
    693.90x = 360,641.02
  5. Step 5: Solve for x
    x = 360,641.02/693.90
  6. Step 6: Final answer
    x = 519.73

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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.