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Finding the Fourth Proportional to 963.19, 1,444.10 and 475.22

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Solution

The fourth proportional to 963.19, 1,444.10 and 475.22 is: 712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 1,444.10 = 475.22 : x
  2. Step 2: Convert to fraction form
    963.19/1,444.10 = 475.22/x
  3. Step 3: Cross multiply
    963.19x = 1,444.10 × 475.22
  4. Step 4: Simplify right side
    963.19x = 686,262.32
  5. Step 5: Solve for x
    x = 686,262.32/963.19
  6. Step 6: Final answer
    x = 712.49

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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.