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Finding the Fourth Proportional to 1,604.63, 2,406.95 and 578.63

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Solution

The fourth proportional to 1,604.63, 2,406.95 and 578.63 is: 867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.63 : 2,406.95 = 578.63 : x
  2. Step 2: Convert to fraction form
    1,604.63/2,406.95 = 578.63/x
  3. Step 3: Cross multiply
    1,604.63x = 2,406.95 × 578.63
  4. Step 4: Simplify right side
    1,604.63x = 1,392,718.55
  5. Step 5: Solve for x
    x = 1,392,718.55/1,604.63
  6. Step 6: Final answer
    x = 867.94

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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.