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Finding the Fourth Proportional to 1,471.50, 2,030.58 and 808.23

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Solution

The fourth proportional to 1,471.50, 2,030.58 and 808.23 is: 1,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.50 : 2,030.58 = 808.23 : x
  2. Step 2: Convert to fraction form
    1,471.50/2,030.58 = 808.23/x
  3. Step 3: Cross multiply
    1,471.50x = 2,030.58 × 808.23
  4. Step 4: Simplify right side
    1,471.50x = 1,641,175.67
  5. Step 5: Solve for x
    x = 1,641,175.67/1,471.50
  6. Step 6: Final answer
    x = 1,115.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.