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Finding the Fourth Proportional to 1,531.02, 2,295.30 and 709.68

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Solution

The fourth proportional to 1,531.02, 2,295.30 and 709.68 is: 1,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.02 : 2,295.30 = 709.68 : x
  2. Step 2: Convert to fraction form
    1,531.02/2,295.30 = 709.68/x
  3. Step 3: Cross multiply
    1,531.02x = 2,295.30 × 709.68
  4. Step 4: Simplify right side
    1,531.02x = 1,628,928.50
  5. Step 5: Solve for x
    x = 1,628,928.50/1,531.02
  6. Step 6: Final answer
    x = 1,063.95

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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.