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Finding the Fourth Proportional to 1,265.14, 1,744.91 and 823.19

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Solution

The fourth proportional to 1,265.14, 1,744.91 and 823.19 is: 1,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.14 : 1,744.91 = 823.19 : x
  2. Step 2: Convert to fraction form
    1,265.14/1,744.91 = 823.19/x
  3. Step 3: Cross multiply
    1,265.14x = 1,744.91 × 823.19
  4. Step 4: Simplify right side
    1,265.14x = 1,436,382.71
  5. Step 5: Solve for x
    x = 1,436,382.71/1,265.14
  6. Step 6: Final answer
    x = 1,135.35

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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.