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Finding the Fourth Proportional to 1,263.74, 1,743.47 and 732.52

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Solution

The fourth proportional to 1,263.74, 1,743.47 and 732.52 is: 1,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.74 : 1,743.47 = 732.52 : x
  2. Step 2: Convert to fraction form
    1,263.74/1,743.47 = 732.52/x
  3. Step 3: Cross multiply
    1,263.74x = 1,743.47 × 732.52
  4. Step 4: Simplify right side
    1,263.74x = 1,277,117.93
  5. Step 5: Solve for x
    x = 1,277,117.93/1,263.74
  6. Step 6: Final answer
    x = 1,010.59

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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.