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Finding the Fourth Proportional to 967.02, 1,334.46 and 547.36

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Solution

The fourth proportional to 967.02, 1,334.46 and 547.36 is: 755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.02 : 1,334.46 = 547.36 : x
  2. Step 2: Convert to fraction form
    967.02/1,334.46 = 547.36/x
  3. Step 3: Cross multiply
    967.02x = 1,334.46 × 547.36
  4. Step 4: Simplify right side
    967.02x = 730,431.39
  5. Step 5: Solve for x
    x = 730,431.39/967.02
  6. Step 6: Final answer
    x = 755.35

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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.