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Finding the Fourth Proportional to 963.84, 1,444.68 and 415.20

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Solution

The fourth proportional to 963.84, 1,444.68 and 415.20 is: 622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.84 : 1,444.68 = 415.20 : x
  2. Step 2: Convert to fraction form
    963.84/1,444.68 = 415.20/x
  3. Step 3: Cross multiply
    963.84x = 1,444.68 × 415.20
  4. Step 4: Simplify right side
    963.84x = 599,831.14
  5. Step 5: Solve for x
    x = 599,831.14/963.84
  6. Step 6: Final answer
    x = 622.33

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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.