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Finding the Fourth Proportional to 1,571.25, 2,357.97 and 545.25

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Solution

The fourth proportional to 1,571.25, 2,357.97 and 545.25 is: 818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.25 : 2,357.97 = 545.25 : x
  2. Step 2: Convert to fraction form
    1,571.25/2,357.97 = 545.25/x
  3. Step 3: Cross multiply
    1,571.25x = 2,357.97 × 545.25
  4. Step 4: Simplify right side
    1,571.25x = 1,285,683.14
  5. Step 5: Solve for x
    x = 1,285,683.14/1,571.25
  6. Step 6: Final answer
    x = 818.25

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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.