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Finding the Fourth Proportional to 967.38, 1,335.06 and 730.92

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Solution

The fourth proportional to 967.38, 1,335.06 and 730.92 is: 1,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.38 : 1,335.06 = 730.92 : x
  2. Step 2: Convert to fraction form
    967.38/1,335.06 = 730.92/x
  3. Step 3: Cross multiply
    967.38x = 1,335.06 × 730.92
  4. Step 4: Simplify right side
    967.38x = 975,822.06
  5. Step 5: Solve for x
    x = 975,822.06/967.38
  6. Step 6: Final answer
    x = 1,008.73

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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.