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Finding the Fourth Proportional to 1,348.63, 1,856.27 and 954.97

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Solution

The fourth proportional to 1,348.63, 1,856.27 and 954.97 is: 1,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.63 : 1,856.27 = 954.97 : x
  2. Step 2: Convert to fraction form
    1,348.63/1,856.27 = 954.97/x
  3. Step 3: Cross multiply
    1,348.63x = 1,856.27 × 954.97
  4. Step 4: Simplify right side
    1,348.63x = 1,772,679.91
  5. Step 5: Solve for x
    x = 1,772,679.91/1,348.63
  6. Step 6: Final answer
    x = 1,314.43

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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.