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Finding the Fourth Proportional to 969.16, 1,336.14 and 658.12

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Solution

The fourth proportional to 969.16, 1,336.14 and 658.12 is: 907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.16 : 1,336.14 = 658.12 : x
  2. Step 2: Convert to fraction form
    969.16/1,336.14 = 658.12/x
  3. Step 3: Cross multiply
    969.16x = 1,336.14 × 658.12
  4. Step 4: Simplify right side
    969.16x = 879,340.46
  5. Step 5: Solve for x
    x = 879,340.46/969.16
  6. Step 6: Final answer
    x = 907.32

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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.