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Finding the Fourth Proportional to 1,442.57, 2,163.69 and 468.45

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Solution

The fourth proportional to 1,442.57, 2,163.69 and 468.45 is: 702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.57 : 2,163.69 = 468.45 : x
  2. Step 2: Convert to fraction form
    1,442.57/2,163.69 = 468.45/x
  3. Step 3: Cross multiply
    1,442.57x = 2,163.69 × 468.45
  4. Step 4: Simplify right side
    1,442.57x = 1,013,580.58
  5. Step 5: Solve for x
    x = 1,013,580.58/1,442.57
  6. Step 6: Final answer
    x = 702.62

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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.