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Finding the Fourth Proportional to 1,251.79, 1,726.99 and 785.23

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Solution

The fourth proportional to 1,251.79, 1,726.99 and 785.23 is: 1,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.79 : 1,726.99 = 785.23 : x
  2. Step 2: Convert to fraction form
    1,251.79/1,726.99 = 785.23/x
  3. Step 3: Cross multiply
    1,251.79x = 1,726.99 × 785.23
  4. Step 4: Simplify right side
    1,251.79x = 1,356,084.36
  5. Step 5: Solve for x
    x = 1,356,084.36/1,251.79
  6. Step 6: Final answer
    x = 1,083.32

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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.