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Finding the Fourth Proportional to 985.26, 1,360.14 and 636.15

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Solution

The fourth proportional to 985.26, 1,360.14 and 636.15 is: 878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.26 : 1,360.14 = 636.15 : x
  2. Step 2: Convert to fraction form
    985.26/1,360.14 = 636.15/x
  3. Step 3: Cross multiply
    985.26x = 1,360.14 × 636.15
  4. Step 4: Simplify right side
    985.26x = 865,253.06
  5. Step 5: Solve for x
    x = 865,253.06/985.26
  6. Step 6: Final answer
    x = 878.20

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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.