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Finding the Fourth Proportional to 1,071.20, 1,477.27 and 822.53

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Solution

The fourth proportional to 1,071.20, 1,477.27 and 822.53 is: 1,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.20 : 1,477.27 = 822.53 : x
  2. Step 2: Convert to fraction form
    1,071.20/1,477.27 = 822.53/x
  3. Step 3: Cross multiply
    1,071.20x = 1,477.27 × 822.53
  4. Step 4: Simplify right side
    1,071.20x = 1,215,103.61
  5. Step 5: Solve for x
    x = 1,215,103.61/1,071.20
  6. Step 6: Final answer
    x = 1,134.34

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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.