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Finding the Fourth Proportional to 966.15, 1,448.64 and 418.05

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Solution

The fourth proportional to 966.15, 1,448.64 and 418.05 is: 626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.15 : 1,448.64 = 418.05 : x
  2. Step 2: Convert to fraction form
    966.15/1,448.64 = 418.05/x
  3. Step 3: Cross multiply
    966.15x = 1,448.64 × 418.05
  4. Step 4: Simplify right side
    966.15x = 605,603.95
  5. Step 5: Solve for x
    x = 605,603.95/966.15
  6. Step 6: Final answer
    x = 626.82

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Why These Related Problems?

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