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Finding the Fourth Proportional to 1,604.50, 2,407.92 and 578.50

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Solution

The fourth proportional to 1,604.50, 2,407.92 and 578.50 is: 868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.50 : 2,407.92 = 578.50 : x
  2. Step 2: Convert to fraction form
    1,604.50/2,407.92 = 578.50/x
  3. Step 3: Cross multiply
    1,604.50x = 2,407.92 × 578.50
  4. Step 4: Simplify right side
    1,604.50x = 1,392,981.72
  5. Step 5: Solve for x
    x = 1,392,981.72/1,604.50
  6. Step 6: Final answer
    x = 868.17

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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.