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Finding the Fourth Proportional to 1,254.75, 1,881.92 and 888.44

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Solution

The fourth proportional to 1,254.75, 1,881.92 and 888.44 is: 1,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.75 : 1,881.92 = 888.44 : x
  2. Step 2: Convert to fraction form
    1,254.75/1,881.92 = 888.44/x
  3. Step 3: Cross multiply
    1,254.75x = 1,881.92 × 888.44
  4. Step 4: Simplify right side
    1,254.75x = 1,671,959.15
  5. Step 5: Solve for x
    x = 1,671,959.15/1,254.75
  6. Step 6: Final answer
    x = 1,332.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.