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Finding the Fourth Proportional to 799.16, 1,102.62 and 537.56

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Solution

The fourth proportional to 799.16, 1,102.62 and 537.56 is: 741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.16 : 1,102.62 = 537.56 : x
  2. Step 2: Convert to fraction form
    799.16/1,102.62 = 537.56/x
  3. Step 3: Cross multiply
    799.16x = 1,102.62 × 537.56
  4. Step 4: Simplify right side
    799.16x = 592,724.41
  5. Step 5: Solve for x
    x = 592,724.41/799.16
  6. Step 6: Final answer
    x = 741.68

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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.