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Finding the Fourth Proportional to 1,577.70, 2,367.23 and 808.20

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Solution

The fourth proportional to 1,577.70, 2,367.23 and 808.20 is: 1,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.70 : 2,367.23 = 808.20 : x
  2. Step 2: Convert to fraction form
    1,577.70/2,367.23 = 808.20/x
  3. Step 3: Cross multiply
    1,577.70x = 2,367.23 × 808.20
  4. Step 4: Simplify right side
    1,577.70x = 1,913,195.29
  5. Step 5: Solve for x
    x = 1,913,195.29/1,577.70
  6. Step 6: Final answer
    x = 1,212.65

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1.5x scale

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.