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Finding the Fourth Proportional to 967.09, 1,334.47 and 541.74

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Solution

The fourth proportional to 967.09, 1,334.47 and 541.74 is: 747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.09 : 1,334.47 = 541.74 : x
  2. Step 2: Convert to fraction form
    967.09/1,334.47 = 541.74/x
  3. Step 3: Cross multiply
    967.09x = 1,334.47 × 541.74
  4. Step 4: Simplify right side
    967.09x = 722,935.78
  5. Step 5: Solve for x
    x = 722,935.78/967.09
  6. Step 6: Final answer
    x = 747.54

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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.