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Finding the Fourth Proportional to 1,471.48, 2,030.62 and 808.34

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Solution

The fourth proportional to 1,471.48, 2,030.62 and 808.34 is: 1,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.48 : 2,030.62 = 808.34 : x
  2. Step 2: Convert to fraction form
    1,471.48/2,030.62 = 808.34/x
  3. Step 3: Cross multiply
    1,471.48x = 2,030.62 × 808.34
  4. Step 4: Simplify right side
    1,471.48x = 1,641,431.37
  5. Step 5: Solve for x
    x = 1,641,431.37/1,471.48
  6. Step 6: Final answer
    x = 1,115.50

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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.