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Finding the Fourth Proportional to 962.66, 1,442.64 and 414.42

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Solution

The fourth proportional to 962.66, 1,442.64 and 414.42 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.66 : 1,442.64 = 414.42 : x
  2. Step 2: Convert to fraction form
    962.66/1,442.64 = 414.42/x
  3. Step 3: Cross multiply
    962.66x = 1,442.64 × 414.42
  4. Step 4: Simplify right side
    962.66x = 597,858.87
  5. Step 5: Solve for x
    x = 597,858.87/962.66
  6. Step 6: Final answer
    x = 621.05

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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.