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Finding the Fourth Proportional to 1,571.90, 2,358.06 and 531.46

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Solution

The fourth proportional to 1,571.90, 2,358.06 and 531.46 is: 797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.90 : 2,358.06 = 531.46 : x
  2. Step 2: Convert to fraction form
    1,571.90/2,358.06 = 531.46/x
  3. Step 3: Cross multiply
    1,571.90x = 2,358.06 × 531.46
  4. Step 4: Simplify right side
    1,571.90x = 1,253,214.57
  5. Step 5: Solve for x
    x = 1,253,214.57/1,571.90
  6. Step 6: Final answer
    x = 797.26

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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.