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Finding the Fourth Proportional to 1,474.88, 2,035.34 and 811.72

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Solution

The fourth proportional to 1,474.88, 2,035.34 and 811.72 is: 1,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.88 : 2,035.34 = 811.72 : x
  2. Step 2: Convert to fraction form
    1,474.88/2,035.34 = 811.72/x
  3. Step 3: Cross multiply
    1,474.88x = 2,035.34 × 811.72
  4. Step 4: Simplify right side
    1,474.88x = 1,652,122.13
  5. Step 5: Solve for x
    x = 1,652,122.13/1,474.88
  6. Step 6: Final answer
    x = 1,120.17

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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.