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Finding the Fourth Proportional to 794.46, 1,096.54 and 463.08

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Solution

The fourth proportional to 794.46, 1,096.54 and 463.08 is: 639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.46 : 1,096.54 = 463.08 : x
  2. Step 2: Convert to fraction form
    794.46/1,096.54 = 463.08/x
  3. Step 3: Cross multiply
    794.46x = 1,096.54 × 463.08
  4. Step 4: Simplify right side
    794.46x = 507,785.74
  5. Step 5: Solve for x
    x = 507,785.74/794.46
  6. Step 6: Final answer
    x = 639.16

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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.