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Finding the Fourth Proportional to 1,240.57, 1,859.94 and 753.51

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Solution

The fourth proportional to 1,240.57, 1,859.94 and 753.51 is: 1,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.57 : 1,859.94 = 753.51 : x
  2. Step 2: Convert to fraction form
    1,240.57/1,859.94 = 753.51/x
  3. Step 3: Cross multiply
    1,240.57x = 1,859.94 × 753.51
  4. Step 4: Simplify right side
    1,240.57x = 1,401,483.39
  5. Step 5: Solve for x
    x = 1,401,483.39/1,240.57
  6. Step 6: Final answer
    x = 1,129.71

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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.