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Finding the Fourth Proportional to 1,442.29, 2,163.41 and 468.40

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Solution

The fourth proportional to 1,442.29, 2,163.41 and 468.40 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.29 : 2,163.41 = 468.40 : x
  2. Step 2: Convert to fraction form
    1,442.29/2,163.41 = 468.40/x
  3. Step 3: Cross multiply
    1,442.29x = 2,163.41 × 468.40
  4. Step 4: Simplify right side
    1,442.29x = 1,013,328.08
  5. Step 5: Solve for x
    x = 1,013,328.08/1,442.29
  6. Step 6: Final answer
    x = 702.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.