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Finding the Fourth Proportional to 962.62, 1,443.12 and 385.36

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Solution

The fourth proportional to 962.62, 1,443.12 and 385.36 is: 577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.62 : 1,443.12 = 385.36 : x
  2. Step 2: Convert to fraction form
    962.62/1,443.12 = 385.36/x
  3. Step 3: Cross multiply
    962.62x = 1,443.12 × 385.36
  4. Step 4: Simplify right side
    962.62x = 556,120.72
  5. Step 5: Solve for x
    x = 556,120.72/962.62
  6. Step 6: Final answer
    x = 577.72

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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.