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Finding the Fourth Proportional to 967.18, 1,334.54 and 547.46

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Solution

The fourth proportional to 967.18, 1,334.54 and 547.46 is: 755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.18 : 1,334.54 = 547.46 : x
  2. Step 2: Convert to fraction form
    967.18/1,334.54 = 547.46/x
  3. Step 3: Cross multiply
    967.18x = 1,334.54 × 547.46
  4. Step 4: Simplify right side
    967.18x = 730,607.27
  5. Step 5: Solve for x
    x = 730,607.27/967.18
  6. Step 6: Final answer
    x = 755.40

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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.