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Finding the Fourth Proportional to 1,209.40, 1,813.19 and 478.58

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Solution

The fourth proportional to 1,209.40, 1,813.19 and 478.58 is: 717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.40 : 1,813.19 = 478.58 : x
  2. Step 2: Convert to fraction form
    1,209.40/1,813.19 = 478.58/x
  3. Step 3: Cross multiply
    1,209.40x = 1,813.19 × 478.58
  4. Step 4: Simplify right side
    1,209.40x = 867,745.01
  5. Step 5: Solve for x
    x = 867,745.01/1,209.40
  6. Step 6: Final answer
    x = 717.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.