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Finding the Fourth Proportional to 1,209.59, 1,669.14 and 678.41

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Solution

The fourth proportional to 1,209.59, 1,669.14 and 678.41 is: 936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.59 : 1,669.14 = 678.41 : x
  2. Step 2: Convert to fraction form
    1,209.59/1,669.14 = 678.41/x
  3. Step 3: Cross multiply
    1,209.59x = 1,669.14 × 678.41
  4. Step 4: Simplify right side
    1,209.59x = 1,132,352.92
  5. Step 5: Solve for x
    x = 1,132,352.92/1,209.59
  6. Step 6: Final answer
    x = 936.15

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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.