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Finding the Fourth Proportional to 1,275.57, 1,911.53 and 625.55

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Solution

The fourth proportional to 1,275.57, 1,911.53 and 625.55 is: 937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.57 : 1,911.53 = 625.55 : x
  2. Step 2: Convert to fraction form
    1,275.57/1,911.53 = 625.55/x
  3. Step 3: Cross multiply
    1,275.57x = 1,911.53 × 625.55
  4. Step 4: Simplify right side
    1,275.57x = 1,195,749.60
  5. Step 5: Solve for x
    x = 1,195,749.60/1,275.57
  6. Step 6: Final answer
    x = 937.42

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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.