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Finding the Fourth Proportional to 1,542.40, 2,314.71 and 605.48

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Solution

The fourth proportional to 1,542.40, 2,314.71 and 605.48 is: 908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.40 : 2,314.71 = 605.48 : x
  2. Step 2: Convert to fraction form
    1,542.40/2,314.71 = 605.48/x
  3. Step 3: Cross multiply
    1,542.40x = 2,314.71 × 605.48
  4. Step 4: Simplify right side
    1,542.40x = 1,401,510.61
  5. Step 5: Solve for x
    x = 1,401,510.61/1,542.40
  6. Step 6: Final answer
    x = 908.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.