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Finding the Fourth Proportional to 948.13, 1,307.92 and 771.28

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Solution

The fourth proportional to 948.13, 1,307.92 and 771.28 is: 1,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.13 : 1,307.92 = 771.28 : x
  2. Step 2: Convert to fraction form
    948.13/1,307.92 = 771.28/x
  3. Step 3: Cross multiply
    948.13x = 1,307.92 × 771.28
  4. Step 4: Simplify right side
    948.13x = 1,008,780.15
  5. Step 5: Solve for x
    x = 1,008,780.15/948.13
  6. Step 6: Final answer
    x = 1,063.97

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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.