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Finding the Fourth Proportional to 794.20, 1,096.08 and 458.16

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Solution

The fourth proportional to 794.20, 1,096.08 and 458.16 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.20 : 1,096.08 = 458.16 : x
  2. Step 2: Convert to fraction form
    794.20/1,096.08 = 458.16/x
  3. Step 3: Cross multiply
    794.20x = 1,096.08 × 458.16
  4. Step 4: Simplify right side
    794.20x = 502,180.01
  5. Step 5: Solve for x
    x = 502,180.01/794.20
  6. Step 6: Final answer
    x = 632.31

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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.