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Finding the Fourth Proportional to 1,531.42, 2,295.76 and 556.84

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Solution

The fourth proportional to 1,531.42, 2,295.76 and 556.84 is: 834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.42 : 2,295.76 = 556.84 : x
  2. Step 2: Convert to fraction form
    1,531.42/2,295.76 = 556.84/x
  3. Step 3: Cross multiply
    1,531.42x = 2,295.76 × 556.84
  4. Step 4: Simplify right side
    1,531.42x = 1,278,371.00
  5. Step 5: Solve for x
    x = 1,278,371.00/1,531.42
  6. Step 6: Final answer
    x = 834.76

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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.