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Finding the Fourth Proportional to 963.09, 1,327.59 and 631.80

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Solution

The fourth proportional to 963.09, 1,327.59 and 631.80 is: 870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.09 : 1,327.59 = 631.80 : x
  2. Step 2: Convert to fraction form
    963.09/1,327.59 = 631.80/x
  3. Step 3: Cross multiply
    963.09x = 1,327.59 × 631.80
  4. Step 4: Simplify right side
    963.09x = 838,771.36
  5. Step 5: Solve for x
    x = 838,771.36/963.09
  6. Step 6: Final answer
    x = 870.92

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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.