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Finding the Fourth Proportional to 970.70, 1,456.08 and 422.12

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Solution

The fourth proportional to 970.70, 1,456.08 and 422.12 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.70 : 1,456.08 = 422.12 : x
  2. Step 2: Convert to fraction form
    970.70/1,456.08 = 422.12/x
  3. Step 3: Cross multiply
    970.70x = 1,456.08 × 422.12
  4. Step 4: Simplify right side
    970.70x = 614,640.49
  5. Step 5: Solve for x
    x = 614,640.49/970.70
  6. Step 6: Final answer
    x = 633.19

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1.5x scale

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.