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Finding the Fourth Proportional to 847.97, 1,170.35 and 498.66

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Solution

The fourth proportional to 847.97, 1,170.35 and 498.66 is: 688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.97 : 1,170.35 = 498.66 : x
  2. Step 2: Convert to fraction form
    847.97/1,170.35 = 498.66/x
  3. Step 3: Cross multiply
    847.97x = 1,170.35 × 498.66
  4. Step 4: Simplify right side
    847.97x = 583,601.72
  5. Step 5: Solve for x
    x = 583,601.72/847.97
  6. Step 6: Final answer
    x = 688.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.