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Finding the Fourth Proportional to 963.25, 1,328.55 and 631.10

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Solution

The fourth proportional to 963.25, 1,328.55 and 631.10 is: 870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.25 : 1,328.55 = 631.10 : x
  2. Step 2: Convert to fraction form
    963.25/1,328.55 = 631.10/x
  3. Step 3: Cross multiply
    963.25x = 1,328.55 × 631.10
  4. Step 4: Simplify right side
    963.25x = 838,441.88
  5. Step 5: Solve for x
    x = 838,441.88/963.25
  6. Step 6: Final answer
    x = 870.43

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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.