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Finding the Fourth Proportional to 1,604.58, 2,405.66 and 874.78

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Solution

The fourth proportional to 1,604.58, 2,405.66 and 874.78 is: 1,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.58 : 2,405.66 = 874.78 : x
  2. Step 2: Convert to fraction form
    1,604.58/2,405.66 = 874.78/x
  3. Step 3: Cross multiply
    1,604.58x = 2,405.66 × 874.78
  4. Step 4: Simplify right side
    1,604.58x = 2,104,423.25
  5. Step 5: Solve for x
    x = 2,104,423.25/1,604.58
  6. Step 6: Final answer
    x = 1,311.51

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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.