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Finding the Fourth Proportional to 1,471.47, 2,030.64 and 808.30

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Solution

The fourth proportional to 1,471.47, 2,030.64 and 808.30 is: 1,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.47 : 2,030.64 = 808.30 : x
  2. Step 2: Convert to fraction form
    1,471.47/2,030.64 = 808.30/x
  3. Step 3: Cross multiply
    1,471.47x = 2,030.64 × 808.30
  4. Step 4: Simplify right side
    1,471.47x = 1,641,365.82
  5. Step 5: Solve for x
    x = 1,641,365.82/1,471.47
  6. Step 6: Final answer
    x = 1,115.46

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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.