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Finding the Fourth Proportional to 1,110.29, 1,665.29 and 698.13

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Solution

The fourth proportional to 1,110.29, 1,665.29 and 698.13 is: 1,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.29 : 1,665.29 = 698.13 : x
  2. Step 2: Convert to fraction form
    1,110.29/1,665.29 = 698.13/x
  3. Step 3: Cross multiply
    1,110.29x = 1,665.29 × 698.13
  4. Step 4: Simplify right side
    1,110.29x = 1,162,590.65
  5. Step 5: Solve for x
    x = 1,162,590.65/1,110.29
  6. Step 6: Final answer
    x = 1,047.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.