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Finding the Fourth Proportional to 888.24, 1,330.20 and 541.74

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Solution

The fourth proportional to 888.24, 1,330.20 and 541.74 is: 811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.24 : 1,330.20 = 541.74 : x
  2. Step 2: Convert to fraction form
    888.24/1,330.20 = 541.74/x
  3. Step 3: Cross multiply
    888.24x = 1,330.20 × 541.74
  4. Step 4: Simplify right side
    888.24x = 720,622.55
  5. Step 5: Solve for x
    x = 720,622.55/888.24
  6. Step 6: Final answer
    x = 811.29

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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.