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Finding the Fourth Proportional to 1,444.95, 2,167.92 and 829.17

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Solution

The fourth proportional to 1,444.95, 2,167.92 and 829.17 is: 1,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.95 : 2,167.92 = 829.17 : x
  2. Step 2: Convert to fraction form
    1,444.95/2,167.92 = 829.17/x
  3. Step 3: Cross multiply
    1,444.95x = 2,167.92 × 829.17
  4. Step 4: Simplify right side
    1,444.95x = 1,797,574.23
  5. Step 5: Solve for x
    x = 1,797,574.23/1,444.95
  6. Step 6: Final answer
    x = 1,244.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.