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Finding the Fourth Proportional to 1,084.53, 1,620.21 and 691.40

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Solution

The fourth proportional to 1,084.53, 1,620.21 and 691.40 is: 1,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.53 : 1,620.21 = 691.40 : x
  2. Step 2: Convert to fraction form
    1,084.53/1,620.21 = 691.40/x
  3. Step 3: Cross multiply
    1,084.53x = 1,620.21 × 691.40
  4. Step 4: Simplify right side
    1,084.53x = 1,120,215.95
  5. Step 5: Solve for x
    x = 1,120,215.95/1,084.53
  6. Step 6: Final answer
    x = 1,032.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.