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Finding the Fourth Proportional to 1,064.11, 1,467.06 and 731.95

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Solution

The fourth proportional to 1,064.11, 1,467.06 and 731.95 is: 1,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.11 : 1,467.06 = 731.95 : x
  2. Step 2: Convert to fraction form
    1,064.11/1,467.06 = 731.95/x
  3. Step 3: Cross multiply
    1,064.11x = 1,467.06 × 731.95
  4. Step 4: Simplify right side
    1,064.11x = 1,073,814.57
  5. Step 5: Solve for x
    x = 1,073,814.57/1,064.11
  6. Step 6: Final answer
    x = 1,009.12

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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.