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Finding the Fourth Proportional to 963.70, 1,444.52 and 416.14

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Solution

The fourth proportional to 963.70, 1,444.52 and 416.14 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.70 : 1,444.52 = 416.14 : x
  2. Step 2: Convert to fraction form
    963.70/1,444.52 = 416.14/x
  3. Step 3: Cross multiply
    963.70x = 1,444.52 × 416.14
  4. Step 4: Simplify right side
    963.70x = 601,120.47
  5. Step 5: Solve for x
    x = 601,120.47/963.70
  6. Step 6: Final answer
    x = 623.76

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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.