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Finding the Fourth Proportional to 1,252.57, 1,728.35 and 786.49

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Solution

The fourth proportional to 1,252.57, 1,728.35 and 786.49 is: 1,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.57 : 1,728.35 = 786.49 : x
  2. Step 2: Convert to fraction form
    1,252.57/1,728.35 = 786.49/x
  3. Step 3: Cross multiply
    1,252.57x = 1,728.35 × 786.49
  4. Step 4: Simplify right side
    1,252.57x = 1,359,326.06
  5. Step 5: Solve for x
    x = 1,359,326.06/1,252.57
  6. Step 6: Final answer
    x = 1,085.23

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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.