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Finding the Fourth Proportional to 966.90, 1,334.40 and 547.41

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Solution

The fourth proportional to 966.90, 1,334.40 and 547.41 is: 755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.90 : 1,334.40 = 547.41 : x
  2. Step 2: Convert to fraction form
    966.90/1,334.40 = 547.41/x
  3. Step 3: Cross multiply
    966.90x = 1,334.40 × 547.41
  4. Step 4: Simplify right side
    966.90x = 730,463.90
  5. Step 5: Solve for x
    x = 730,463.90/966.90
  6. Step 6: Final answer
    x = 755.47

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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.