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Finding the Fourth Proportional to 1,442.34, 2,163.82 and 468.36

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Solution

The fourth proportional to 1,442.34, 2,163.82 and 468.36 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.34 : 2,163.82 = 468.36 : x
  2. Step 2: Convert to fraction form
    1,442.34/2,163.82 = 468.36/x
  3. Step 3: Cross multiply
    1,442.34x = 2,163.82 × 468.36
  4. Step 4: Simplify right side
    1,442.34x = 1,013,446.74
  5. Step 5: Solve for x
    x = 1,013,446.74/1,442.34
  6. Step 6: Final answer
    x = 702.64

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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.