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Finding the Fourth Proportional to 717.18, 1,074.33 and 428.46

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Solution

The fourth proportional to 717.18, 1,074.33 and 428.46 is: 641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.18 : 1,074.33 = 428.46 : x
  2. Step 2: Convert to fraction form
    717.18/1,074.33 = 428.46/x
  3. Step 3: Cross multiply
    717.18x = 1,074.33 × 428.46
  4. Step 4: Simplify right side
    717.18x = 460,307.43
  5. Step 5: Solve for x
    x = 460,307.43/717.18
  6. Step 6: Final answer
    x = 641.83

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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.