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Finding the Fourth Proportional to 921.88, 1,376.03 and 844.93

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Solution

The fourth proportional to 921.88, 1,376.03 and 844.93 is: 1,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.88 : 1,376.03 = 844.93 : x
  2. Step 2: Convert to fraction form
    921.88/1,376.03 = 844.93/x
  3. Step 3: Cross multiply
    921.88x = 1,376.03 × 844.93
  4. Step 4: Simplify right side
    921.88x = 1,162,649.03
  5. Step 5: Solve for x
    x = 1,162,649.03/921.88
  6. Step 6: Final answer
    x = 1,261.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.