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Finding the Fourth Proportional to 717.02, 1,072.80 and 424.67

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Solution

The fourth proportional to 717.02, 1,072.80 and 424.67 is: 635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.02 : 1,072.80 = 424.67 : x
  2. Step 2: Convert to fraction form
    717.02/1,072.80 = 424.67/x
  3. Step 3: Cross multiply
    717.02x = 1,072.80 × 424.67
  4. Step 4: Simplify right side
    717.02x = 455,585.98
  5. Step 5: Solve for x
    x = 455,585.98/717.02
  6. Step 6: Final answer
    x = 635.39

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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.