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Finding the Fourth Proportional to 969.18, 1,461.08 and 906.54

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Solution

The fourth proportional to 969.18, 1,461.08 and 906.54 is: 1,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.18 : 1,461.08 = 906.54 : x
  2. Step 2: Convert to fraction form
    969.18/1,461.08 = 906.54/x
  3. Step 3: Cross multiply
    969.18x = 1,461.08 × 906.54
  4. Step 4: Simplify right side
    969.18x = 1,324,522.93
  5. Step 5: Solve for x
    x = 1,324,522.93/969.18
  6. Step 6: Final answer
    x = 1,366.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.