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Finding the Fourth Proportional to 1,022.40, 1,531.98 and 656.89

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Solution

The fourth proportional to 1,022.40, 1,531.98 and 656.89 is: 984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,531.98 = 656.89 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,531.98 = 656.89/x
  3. Step 3: Cross multiply
    1,022.40x = 1,531.98 × 656.89
  4. Step 4: Simplify right side
    1,022.40x = 1,006,338.51
  5. Step 5: Solve for x
    x = 1,006,338.51/1,022.40
  6. Step 6: Final answer
    x = 984.29

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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.