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Finding the Fourth Proportional to 949.24, 1,422.04 and 537.15

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Solution

The fourth proportional to 949.24, 1,422.04 and 537.15 is: 804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.24 : 1,422.04 = 537.15 : x
  2. Step 2: Convert to fraction form
    949.24/1,422.04 = 537.15/x
  3. Step 3: Cross multiply
    949.24x = 1,422.04 × 537.15
  4. Step 4: Simplify right side
    949.24x = 763,848.79
  5. Step 5: Solve for x
    x = 763,848.79/949.24
  6. Step 6: Final answer
    x = 804.70

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