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Finding the Fourth Proportional to 1,254.93, 1,889.75 and 910.68

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Solution

The fourth proportional to 1,254.93, 1,889.75 and 910.68 is: 1,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.93 : 1,889.75 = 910.68 : x
  2. Step 2: Convert to fraction form
    1,254.93/1,889.75 = 910.68/x
  3. Step 3: Cross multiply
    1,254.93x = 1,889.75 × 910.68
  4. Step 4: Simplify right side
    1,254.93x = 1,720,952.98
  5. Step 5: Solve for x
    x = 1,720,952.98/1,254.93
  6. Step 6: Final answer
    x = 1,371.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.