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Finding the Fourth Proportional to 1,008.36, 1,510.26 and 698.82

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Solution

The fourth proportional to 1,008.36, 1,510.26 and 698.82 is: 1,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.36 : 1,510.26 = 698.82 : x
  2. Step 2: Convert to fraction form
    1,008.36/1,510.26 = 698.82/x
  3. Step 3: Cross multiply
    1,008.36x = 1,510.26 × 698.82
  4. Step 4: Simplify right side
    1,008.36x = 1,055,399.89
  5. Step 5: Solve for x
    x = 1,055,399.89/1,008.36
  6. Step 6: Final answer
    x = 1,046.65

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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.