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Finding the Fourth Proportional to 921.94, 1,271.37 and 781.90

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Solution

The fourth proportional to 921.94, 1,271.37 and 781.90 is: 1,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.94 : 1,271.37 = 781.90 : x
  2. Step 2: Convert to fraction form
    921.94/1,271.37 = 781.90/x
  3. Step 3: Cross multiply
    921.94x = 1,271.37 × 781.90
  4. Step 4: Simplify right side
    921.94x = 994,084.20
  5. Step 5: Solve for x
    x = 994,084.20/921.94
  6. Step 6: Final answer
    x = 1,078.25

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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.