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Finding the Fourth Proportional to 1,531.73, 2,296.79 and 607.25

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Solution

The fourth proportional to 1,531.73, 2,296.79 and 607.25 is: 910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.73 : 2,296.79 = 607.25 : x
  2. Step 2: Convert to fraction form
    1,531.73/2,296.79 = 607.25/x
  3. Step 3: Cross multiply
    1,531.73x = 2,296.79 × 607.25
  4. Step 4: Simplify right side
    1,531.73x = 1,394,730.71
  5. Step 5: Solve for x
    x = 1,394,730.71/1,531.73
  6. Step 6: Final answer
    x = 910.56

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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.