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Finding the Fourth Proportional to 799.54, 1,101.62 and 537.10

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Solution

The fourth proportional to 799.54, 1,101.62 and 537.10 is: 740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.54 : 1,101.62 = 537.10 : x
  2. Step 2: Convert to fraction form
    799.54/1,101.62 = 537.10/x
  3. Step 3: Cross multiply
    799.54x = 1,101.62 × 537.10
  4. Step 4: Simplify right side
    799.54x = 591,680.10
  5. Step 5: Solve for x
    x = 591,680.10/799.54
  6. Step 6: Final answer
    x = 740.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.