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Finding the Fourth Proportional to 824.48, 1,138.01 and 540.93

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Solution

The fourth proportional to 824.48, 1,138.01 and 540.93 is: 746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.48 : 1,138.01 = 540.93 : x
  2. Step 2: Convert to fraction form
    824.48/1,138.01 = 540.93/x
  3. Step 3: Cross multiply
    824.48x = 1,138.01 × 540.93
  4. Step 4: Simplify right side
    824.48x = 615,583.75
  5. Step 5: Solve for x
    x = 615,583.75/824.48
  6. Step 6: Final answer
    x = 746.63

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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.