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Finding the Fourth Proportional to 1,471.11, 2,030.06 and 807.95

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Solution

The fourth proportional to 1,471.11, 2,030.06 and 807.95 is: 1,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.11 : 2,030.06 = 807.95 : x
  2. Step 2: Convert to fraction form
    1,471.11/2,030.06 = 807.95/x
  3. Step 3: Cross multiply
    1,471.11x = 2,030.06 × 807.95
  4. Step 4: Simplify right side
    1,471.11x = 1,640,186.98
  5. Step 5: Solve for x
    x = 1,640,186.98/1,471.11
  6. Step 6: Final answer
    x = 1,114.93

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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.