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Finding the Fourth Proportional to 1,311.84, 1,967.76 and 734.04

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Solution

The fourth proportional to 1,311.84, 1,967.76 and 734.04 is: 1,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.84 : 1,967.76 = 734.04 : x
  2. Step 2: Convert to fraction form
    1,311.84/1,967.76 = 734.04/x
  3. Step 3: Cross multiply
    1,311.84x = 1,967.76 × 734.04
  4. Step 4: Simplify right side
    1,311.84x = 1,444,414.55
  5. Step 5: Solve for x
    x = 1,444,414.55/1,311.84
  6. Step 6: Final answer
    x = 1,101.06

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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.