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Finding the Fourth Proportional to 969.56, 1,338.68 and 597.04

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Solution

The fourth proportional to 969.56, 1,338.68 and 597.04 is: 824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.56 : 1,338.68 = 597.04 : x
  2. Step 2: Convert to fraction form
    969.56/1,338.68 = 597.04/x
  3. Step 3: Cross multiply
    969.56x = 1,338.68 × 597.04
  4. Step 4: Simplify right side
    969.56x = 799,245.51
  5. Step 5: Solve for x
    x = 799,245.51/969.56
  6. Step 6: Final answer
    x = 824.34

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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.