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Finding the Fourth Proportional to 1,263.70, 1,743.61 and 814.77

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Solution

The fourth proportional to 1,263.70, 1,743.61 and 814.77 is: 1,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.70 : 1,743.61 = 814.77 : x
  2. Step 2: Convert to fraction form
    1,263.70/1,743.61 = 814.77/x
  3. Step 3: Cross multiply
    1,263.70x = 1,743.61 × 814.77
  4. Step 4: Simplify right side
    1,263.70x = 1,420,641.12
  5. Step 5: Solve for x
    x = 1,420,641.12/1,263.70
  6. Step 6: Final answer
    x = 1,124.19

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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.