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Finding the Fourth Proportional to 926.34, 1,275.44 and 786.17

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Solution

The fourth proportional to 926.34, 1,275.44 and 786.17 is: 1,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.34 : 1,275.44 = 786.17 : x
  2. Step 2: Convert to fraction form
    926.34/1,275.44 = 786.17/x
  3. Step 3: Cross multiply
    926.34x = 1,275.44 × 786.17
  4. Step 4: Simplify right side
    926.34x = 1,002,702.36
  5. Step 5: Solve for x
    x = 1,002,702.36/926.34
  6. Step 6: Final answer
    x = 1,082.43

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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.