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Finding the Fourth Proportional to 975.40, 1,463.10 and 663.55

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Solution

The fourth proportional to 975.40, 1,463.10 and 663.55 is: 995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.40 : 1,463.10 = 663.55 : x
  2. Step 2: Convert to fraction form
    975.40/1,463.10 = 663.55/x
  3. Step 3: Cross multiply
    975.40x = 1,463.10 × 663.55
  4. Step 4: Simplify right side
    975.40x = 970,840.01
  5. Step 5: Solve for x
    x = 970,840.01/975.40
  6. Step 6: Final answer
    x = 995.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.