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Finding the Fourth Proportional to 925.46, 1,384.38 and 844.36

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Solution

The fourth proportional to 925.46, 1,384.38 and 844.36 is: 1,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.46 : 1,384.38 = 844.36 : x
  2. Step 2: Convert to fraction form
    925.46/1,384.38 = 844.36/x
  3. Step 3: Cross multiply
    925.46x = 1,384.38 × 844.36
  4. Step 4: Simplify right side
    925.46x = 1,168,915.10
  5. Step 5: Solve for x
    x = 1,168,915.10/925.46
  6. Step 6: Final answer
    x = 1,263.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.