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Finding the Fourth Proportional to 1,532.16, 2,295.18 and 709.30

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Solution

The fourth proportional to 1,532.16, 2,295.18 and 709.30 is: 1,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.16 : 2,295.18 = 709.30 : x
  2. Step 2: Convert to fraction form
    1,532.16/2,295.18 = 709.30/x
  3. Step 3: Cross multiply
    1,532.16x = 2,295.18 × 709.30
  4. Step 4: Simplify right side
    1,532.16x = 1,627,965.44
  5. Step 5: Solve for x
    x = 1,627,965.44/1,532.16
  6. Step 6: Final answer
    x = 1,062.53

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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.