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Finding the Fourth Proportional to 717.34, 1,074.15 and 497.64

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Solution

The fourth proportional to 717.34, 1,074.15 and 497.64 is: 745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.34 : 1,074.15 = 497.64 : x
  2. Step 2: Convert to fraction form
    717.34/1,074.15 = 497.64/x
  3. Step 3: Cross multiply
    717.34x = 1,074.15 × 497.64
  4. Step 4: Simplify right side
    717.34x = 534,540.01
  5. Step 5: Solve for x
    x = 534,540.01/717.34
  6. Step 6: Final answer
    x = 745.17

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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.