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Finding the Fourth Proportional to 970.56, 1,456.16 and 422.44

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Solution

The fourth proportional to 970.56, 1,456.16 and 422.44 is: 633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.56 : 1,456.16 = 422.44 : x
  2. Step 2: Convert to fraction form
    970.56/1,456.16 = 422.44/x
  3. Step 3: Cross multiply
    970.56x = 1,456.16 × 422.44
  4. Step 4: Simplify right side
    970.56x = 615,140.23
  5. Step 5: Solve for x
    x = 615,140.23/970.56
  6. Step 6: Final answer
    x = 633.80

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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.