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Finding the Fourth Proportional to 1,353.17, 2,032.99 and 867.17

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Solution

The fourth proportional to 1,353.17, 2,032.99 and 867.17 is: 1,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.17 : 2,032.99 = 867.17 : x
  2. Step 2: Convert to fraction form
    1,353.17/2,032.99 = 867.17/x
  3. Step 3: Cross multiply
    1,353.17x = 2,032.99 × 867.17
  4. Step 4: Simplify right side
    1,353.17x = 1,762,937.77
  5. Step 5: Solve for x
    x = 1,762,937.77/1,353.17
  6. Step 6: Final answer
    x = 1,302.83

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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.