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Finding the Fourth Proportional to 1,291.76, 1,782.61 and 732.23

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Solution

The fourth proportional to 1,291.76, 1,782.61 and 732.23 is: 1,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.76 : 1,782.61 = 732.23 : x
  2. Step 2: Convert to fraction form
    1,291.76/1,782.61 = 732.23/x
  3. Step 3: Cross multiply
    1,291.76x = 1,782.61 × 732.23
  4. Step 4: Simplify right side
    1,291.76x = 1,305,280.52
  5. Step 5: Solve for x
    x = 1,305,280.52/1,291.76
  6. Step 6: Final answer
    x = 1,010.47

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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.