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Finding the Fourth Proportional to 970.08, 1,338.84 and 822.12

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Solution

The fourth proportional to 970.08, 1,338.84 and 822.12 is: 1,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.08 : 1,338.84 = 822.12 : x
  2. Step 2: Convert to fraction form
    970.08/1,338.84 = 822.12/x
  3. Step 3: Cross multiply
    970.08x = 1,338.84 × 822.12
  4. Step 4: Simplify right side
    970.08x = 1,100,687.14
  5. Step 5: Solve for x
    x = 1,100,687.14/970.08
  6. Step 6: Final answer
    x = 1,134.64

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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.