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Finding the Fourth Proportional to 970.56, 1,456.11 and 806.13

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Solution

The fourth proportional to 970.56, 1,456.11 and 806.13 is: 1,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.56 : 1,456.11 = 806.13 : x
  2. Step 2: Convert to fraction form
    970.56/1,456.11 = 806.13/x
  3. Step 3: Cross multiply
    970.56x = 1,456.11 × 806.13
  4. Step 4: Simplify right side
    970.56x = 1,173,813.95
  5. Step 5: Solve for x
    x = 1,173,813.95/970.56
  6. Step 6: Final answer
    x = 1,209.42

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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.