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Finding the Fourth Proportional to 944.82, 1,416.11 and 534.15

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Solution

The fourth proportional to 944.82, 1,416.11 and 534.15 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.82 : 1,416.11 = 534.15 : x
  2. Step 2: Convert to fraction form
    944.82/1,416.11 = 534.15/x
  3. Step 3: Cross multiply
    944.82x = 1,416.11 × 534.15
  4. Step 4: Simplify right side
    944.82x = 756,412.49
  5. Step 5: Solve for x
    x = 756,412.49/944.82
  6. Step 6: Final answer
    x = 800.59

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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.