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Finding the Fourth Proportional to 1,252.07, 1,727.93 and 810.35

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Solution

The fourth proportional to 1,252.07, 1,727.93 and 810.35 is: 1,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.07 : 1,727.93 = 810.35 : x
  2. Step 2: Convert to fraction form
    1,252.07/1,727.93 = 810.35/x
  3. Step 3: Cross multiply
    1,252.07x = 1,727.93 × 810.35
  4. Step 4: Simplify right side
    1,252.07x = 1,400,224.02
  5. Step 5: Solve for x
    x = 1,400,224.02/1,252.07
  6. Step 6: Final answer
    x = 1,118.33

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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.