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Finding the Fourth Proportional to 1,292.02, 1,782.81 and 732.52

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Solution

The fourth proportional to 1,292.02, 1,782.81 and 732.52 is: 1,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.02 : 1,782.81 = 732.52 : x
  2. Step 2: Convert to fraction form
    1,292.02/1,782.81 = 732.52/x
  3. Step 3: Cross multiply
    1,292.02x = 1,782.81 × 732.52
  4. Step 4: Simplify right side
    1,292.02x = 1,305,943.98
  5. Step 5: Solve for x
    x = 1,305,943.98/1,292.02
  6. Step 6: Final answer
    x = 1,010.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.