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Finding the Fourth Proportional to 1,098.23, 1,644.86 and 770.62

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Solution

The fourth proportional to 1,098.23, 1,644.86 and 770.62 is: 1,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.23 : 1,644.86 = 770.62 : x
  2. Step 2: Convert to fraction form
    1,098.23/1,644.86 = 770.62/x
  3. Step 3: Cross multiply
    1,098.23x = 1,644.86 × 770.62
  4. Step 4: Simplify right side
    1,098.23x = 1,267,554.05
  5. Step 5: Solve for x
    x = 1,267,554.05/1,098.23
  6. Step 6: Final answer
    x = 1,154.18

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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.