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Finding the Fourth Proportional to 1,007.98, 1,510.25 and 660.89

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Solution

The fourth proportional to 1,007.98, 1,510.25 and 660.89 is: 990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.98 : 1,510.25 = 660.89 : x
  2. Step 2: Convert to fraction form
    1,007.98/1,510.25 = 660.89/x
  3. Step 3: Cross multiply
    1,007.98x = 1,510.25 × 660.89
  4. Step 4: Simplify right side
    1,007.98x = 998,109.59
  5. Step 5: Solve for x
    x = 998,109.59/1,007.98
  6. Step 6: Final answer
    x = 990.21

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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.