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Finding the Fourth Proportional to 1,442.49, 2,164.04 and 468.51

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Solution

The fourth proportional to 1,442.49, 2,164.04 and 468.51 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.49 : 2,164.04 = 468.51 : x
  2. Step 2: Convert to fraction form
    1,442.49/2,164.04 = 468.51/x
  3. Step 3: Cross multiply
    1,442.49x = 2,164.04 × 468.51
  4. Step 4: Simplify right side
    1,442.49x = 1,013,872.04
  5. Step 5: Solve for x
    x = 1,013,872.04/1,442.49
  6. Step 6: Final answer
    x = 702.86

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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.