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Finding the Fourth Proportional to 989.69, 1,365.18 and 635.50

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Solution

The fourth proportional to 989.69, 1,365.18 and 635.50 is: 876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.69 : 1,365.18 = 635.50 : x
  2. Step 2: Convert to fraction form
    989.69/1,365.18 = 635.50/x
  3. Step 3: Cross multiply
    989.69x = 1,365.18 × 635.50
  4. Step 4: Simplify right side
    989.69x = 867,565.32
  5. Step 5: Solve for x
    x = 867,565.32/989.69
  6. Step 6: Final answer
    x = 876.60

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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.