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Finding the Fourth Proportional to 970.11, 1,338.66 and 596.97

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Solution

The fourth proportional to 970.11, 1,338.66 and 596.97 is: 823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.11 : 1,338.66 = 596.97 : x
  2. Step 2: Convert to fraction form
    970.11/1,338.66 = 596.97/x
  3. Step 3: Cross multiply
    970.11x = 1,338.66 × 596.97
  4. Step 4: Simplify right side
    970.11x = 799,139.86
  5. Step 5: Solve for x
    x = 799,139.86/970.11
  6. Step 6: Final answer
    x = 823.76

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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.