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Finding the Fourth Proportional to 1,206.18, 1,664.52 and 654.18

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Solution

The fourth proportional to 1,206.18, 1,664.52 and 654.18 is: 902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.18 : 1,664.52 = 654.18 : x
  2. Step 2: Convert to fraction form
    1,206.18/1,664.52 = 654.18/x
  3. Step 3: Cross multiply
    1,206.18x = 1,664.52 × 654.18
  4. Step 4: Simplify right side
    1,206.18x = 1,088,895.69
  5. Step 5: Solve for x
    x = 1,088,895.69/1,206.18
  6. Step 6: Final answer
    x = 902.76

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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.