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Finding the Fourth Proportional to 1,246.62, 1,866.45 and 808.36

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Solution

The fourth proportional to 1,246.62, 1,866.45 and 808.36 is: 1,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.62 : 1,866.45 = 808.36 : x
  2. Step 2: Convert to fraction form
    1,246.62/1,866.45 = 808.36/x
  3. Step 3: Cross multiply
    1,246.62x = 1,866.45 × 808.36
  4. Step 4: Simplify right side
    1,246.62x = 1,508,763.52
  5. Step 5: Solve for x
    x = 1,508,763.52/1,246.62
  6. Step 6: Final answer
    x = 1,210.28

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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.