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Finding the Fourth Proportional to 1,100.84, 1,648.02 and 666.68

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Solution

The fourth proportional to 1,100.84, 1,648.02 and 666.68 is: 998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.84 : 1,648.02 = 666.68 : x
  2. Step 2: Convert to fraction form
    1,100.84/1,648.02 = 666.68/x
  3. Step 3: Cross multiply
    1,100.84x = 1,648.02 × 666.68
  4. Step 4: Simplify right side
    1,100.84x = 1,098,701.97
  5. Step 5: Solve for x
    x = 1,098,701.97/1,100.84
  6. Step 6: Final answer
    x = 998.06

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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.