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Finding the Fourth Proportional to 1,006.18, 1,505.82 and 698.38

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Solution

The fourth proportional to 1,006.18, 1,505.82 and 698.38 is: 1,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.18 : 1,505.82 = 698.38 : x
  2. Step 2: Convert to fraction form
    1,006.18/1,505.82 = 698.38/x
  3. Step 3: Cross multiply
    1,006.18x = 1,505.82 × 698.38
  4. Step 4: Simplify right side
    1,006.18x = 1,051,634.57
  5. Step 5: Solve for x
    x = 1,051,634.57/1,006.18
  6. Step 6: Final answer
    x = 1,045.18

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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.