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Finding the Fourth Proportional to 1,604.50, 2,406.76 and 578.50

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Solution

The fourth proportional to 1,604.50, 2,406.76 and 578.50 is: 867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.50 : 2,406.76 = 578.50 : x
  2. Step 2: Convert to fraction form
    1,604.50/2,406.76 = 578.50/x
  3. Step 3: Cross multiply
    1,604.50x = 2,406.76 × 578.50
  4. Step 4: Simplify right side
    1,604.50x = 1,392,310.66
  5. Step 5: Solve for x
    x = 1,392,310.66/1,604.50
  6. Step 6: Final answer
    x = 867.75

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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.