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Finding the Fourth Proportional to 1,263.26, 1,743.21 and 732.05

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Solution

The fourth proportional to 1,263.26, 1,743.21 and 732.05 is: 1,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.26 : 1,743.21 = 732.05 : x
  2. Step 2: Convert to fraction form
    1,263.26/1,743.21 = 732.05/x
  3. Step 3: Cross multiply
    1,263.26x = 1,743.21 × 732.05
  4. Step 4: Simplify right side
    1,263.26x = 1,276,108.16
  5. Step 5: Solve for x
    x = 1,276,108.16/1,263.26
  6. Step 6: Final answer
    x = 1,010.17

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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.