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Finding the Fourth Proportional to 822.92, 1,137.82 and 719.16

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Solution

The fourth proportional to 822.92, 1,137.82 and 719.16 is: 994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.92 : 1,137.82 = 719.16 : x
  2. Step 2: Convert to fraction form
    822.92/1,137.82 = 719.16/x
  3. Step 3: Cross multiply
    822.92x = 1,137.82 × 719.16
  4. Step 4: Simplify right side
    822.92x = 818,274.63
  5. Step 5: Solve for x
    x = 818,274.63/822.92
  6. Step 6: Final answer
    x = 994.36

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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.