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Finding the Fourth Proportional to 717.18, 1,074.73 and 424.81

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Solution

The fourth proportional to 717.18, 1,074.73 and 424.81 is: 636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.18 : 1,074.73 = 424.81 : x
  2. Step 2: Convert to fraction form
    717.18/1,074.73 = 424.81/x
  3. Step 3: Cross multiply
    717.18x = 1,074.73 × 424.81
  4. Step 4: Simplify right side
    717.18x = 456,556.05
  5. Step 5: Solve for x
    x = 456,556.05/717.18
  6. Step 6: Final answer
    x = 636.60

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