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Finding the Fourth Proportional to 1,098.65, 1,647.06 and 732.33

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Solution

The fourth proportional to 1,098.65, 1,647.06 and 732.33 is: 1,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.65 : 1,647.06 = 732.33 : x
  2. Step 2: Convert to fraction form
    1,098.65/1,647.06 = 732.33/x
  3. Step 3: Cross multiply
    1,098.65x = 1,647.06 × 732.33
  4. Step 4: Simplify right side
    1,098.65x = 1,206,191.45
  5. Step 5: Solve for x
    x = 1,206,191.45/1,098.65
  6. Step 6: Final answer
    x = 1,097.89

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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.