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Finding the Fourth Proportional to 962.69, 1,442.07 and 779.63

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Solution

The fourth proportional to 962.69, 1,442.07 and 779.63 is: 1,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.69 : 1,442.07 = 779.63 : x
  2. Step 2: Convert to fraction form
    962.69/1,442.07 = 779.63/x
  3. Step 3: Cross multiply
    962.69x = 1,442.07 × 779.63
  4. Step 4: Simplify right side
    962.69x = 1,124,273.82
  5. Step 5: Solve for x
    x = 1,124,273.82/962.69
  6. Step 6: Final answer
    x = 1,167.85

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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.