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Finding the Fourth Proportional to 955.49, 1,432.01 and 770.48

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Solution

The fourth proportional to 955.49, 1,432.01 and 770.48 is: 1,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.49 : 1,432.01 = 770.48 : x
  2. Step 2: Convert to fraction form
    955.49/1,432.01 = 770.48/x
  3. Step 3: Cross multiply
    955.49x = 1,432.01 × 770.48
  4. Step 4: Simplify right side
    955.49x = 1,103,335.06
  5. Step 5: Solve for x
    x = 1,103,335.06/955.49
  6. Step 6: Final answer
    x = 1,154.73

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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.