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Finding the Fourth Proportional to 970.78, 1,456.85 and 422.68

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Solution

The fourth proportional to 970.78, 1,456.85 and 422.68 is: 634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.78 : 1,456.85 = 422.68 : x
  2. Step 2: Convert to fraction form
    970.78/1,456.85 = 422.68/x
  3. Step 3: Cross multiply
    970.78x = 1,456.85 × 422.68
  4. Step 4: Simplify right side
    970.78x = 615,781.36
  5. Step 5: Solve for x
    x = 615,781.36/970.78
  6. Step 6: Final answer
    x = 634.32

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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.