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Finding the Fourth Proportional to 717.65, 1,074.95 and 409.34

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Solution

The fourth proportional to 717.65, 1,074.95 and 409.34 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.65 : 1,074.95 = 409.34 : x
  2. Step 2: Convert to fraction form
    717.65/1,074.95 = 409.34/x
  3. Step 3: Cross multiply
    717.65x = 1,074.95 × 409.34
  4. Step 4: Simplify right side
    717.65x = 440,020.03
  5. Step 5: Solve for x
    x = 440,020.03/717.65
  6. Step 6: Final answer
    x = 613.14

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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.