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Finding the Fourth Proportional to 1,071.39, 1,477.53 and 822.72

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Solution

The fourth proportional to 1,071.39, 1,477.53 and 822.72 is: 1,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.39 : 1,477.53 = 822.72 : x
  2. Step 2: Convert to fraction form
    1,071.39/1,477.53 = 822.72/x
  3. Step 3: Cross multiply
    1,071.39x = 1,477.53 × 822.72
  4. Step 4: Simplify right side
    1,071.39x = 1,215,593.48
  5. Step 5: Solve for x
    x = 1,215,593.48/1,071.39
  6. Step 6: Final answer
    x = 1,134.59

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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.