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Finding the Fourth Proportional to 959.18, 1,437.39 and 411.21

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Solution

The fourth proportional to 959.18, 1,437.39 and 411.21 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.18 : 1,437.39 = 411.21 : x
  2. Step 2: Convert to fraction form
    959.18/1,437.39 = 411.21/x
  3. Step 3: Cross multiply
    959.18x = 1,437.39 × 411.21
  4. Step 4: Simplify right side
    959.18x = 591,069.14
  5. Step 5: Solve for x
    x = 591,069.14/959.18
  6. Step 6: Final answer
    x = 616.22

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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.