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Finding the Fourth Proportional to 794.92, 1,097.12 and 463.28

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Solution

The fourth proportional to 794.92, 1,097.12 and 463.28 is: 639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,097.12 = 463.28 : x
  2. Step 2: Convert to fraction form
    794.92/1,097.12 = 463.28/x
  3. Step 3: Cross multiply
    794.92x = 1,097.12 × 463.28
  4. Step 4: Simplify right side
    794.92x = 508,273.75
  5. Step 5: Solve for x
    x = 508,273.75/794.92
  6. Step 6: Final answer
    x = 639.40

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Double scale
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1.5x scale

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.