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Finding the Fourth Proportional to 918.26, 1,267.19 and 498.61

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Solution

The fourth proportional to 918.26, 1,267.19 and 498.61 is: 688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.26 : 1,267.19 = 498.61 : x
  2. Step 2: Convert to fraction form
    918.26/1,267.19 = 498.61/x
  3. Step 3: Cross multiply
    918.26x = 1,267.19 × 498.61
  4. Step 4: Simplify right side
    918.26x = 631,824.78
  5. Step 5: Solve for x
    x = 631,824.78/918.26
  6. Step 6: Final answer
    x = 688.07

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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.