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Finding the Fourth Proportional to 1,531.89, 2,294.79 and 709.05

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Solution

The fourth proportional to 1,531.89, 2,294.79 and 709.05 is: 1,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.89 : 2,294.79 = 709.05 : x
  2. Step 2: Convert to fraction form
    1,531.89/2,294.79 = 709.05/x
  3. Step 3: Cross multiply
    1,531.89x = 2,294.79 × 709.05
  4. Step 4: Simplify right side
    1,531.89x = 1,627,120.85
  5. Step 5: Solve for x
    x = 1,627,120.85/1,531.89
  6. Step 6: Final answer
    x = 1,062.17

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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.