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Finding the Fourth Proportional to 1,665.94, 2,498.19 and 511.42

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Solution

The fourth proportional to 1,665.94, 2,498.19 and 511.42 is: 766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.94 : 2,498.19 = 511.42 : x
  2. Step 2: Convert to fraction form
    1,665.94/2,498.19 = 511.42/x
  3. Step 3: Cross multiply
    1,665.94x = 2,498.19 × 511.42
  4. Step 4: Simplify right side
    1,665.94x = 1,277,624.33
  5. Step 5: Solve for x
    x = 1,277,624.33/1,665.94
  6. Step 6: Final answer
    x = 766.91

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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.