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Finding the Fourth Proportional to 969.12, 1,338.54 and 875.82

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Solution

The fourth proportional to 969.12, 1,338.54 and 875.82 is: 1,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.12 : 1,338.54 = 875.82 : x
  2. Step 2: Convert to fraction form
    969.12/1,338.54 = 875.82/x
  3. Step 3: Cross multiply
    969.12x = 1,338.54 × 875.82
  4. Step 4: Simplify right side
    969.12x = 1,172,320.10
  5. Step 5: Solve for x
    x = 1,172,320.10/969.12
  6. Step 6: Final answer
    x = 1,209.67

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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.