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Finding the Fourth Proportional to 717.83, 1,074.90 and 498.14

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Solution

The fourth proportional to 717.83, 1,074.90 and 498.14 is: 745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.83 : 1,074.90 = 498.14 : x
  2. Step 2: Convert to fraction form
    717.83/1,074.90 = 498.14/x
  3. Step 3: Cross multiply
    717.83x = 1,074.90 × 498.14
  4. Step 4: Simplify right side
    717.83x = 535,450.69
  5. Step 5: Solve for x
    x = 535,450.69/717.83
  6. Step 6: Final answer
    x = 745.93

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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.