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Finding the Fourth Proportional to 822.32, 1,232.32 and 719.28

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Solution

The fourth proportional to 822.32, 1,232.32 and 719.28 is: 1,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.32 : 1,232.32 = 719.28 : x
  2. Step 2: Convert to fraction form
    822.32/1,232.32 = 719.28/x
  3. Step 3: Cross multiply
    822.32x = 1,232.32 × 719.28
  4. Step 4: Simplify right side
    822.32x = 886,383.13
  5. Step 5: Solve for x
    x = 886,383.13/822.32
  6. Step 6: Final answer
    x = 1,077.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.