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Finding the Fourth Proportional to 1,462.49, 2,194.08 and 488.66

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Solution

The fourth proportional to 1,462.49, 2,194.08 and 488.66 is: 733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.49 : 2,194.08 = 488.66 : x
  2. Step 2: Convert to fraction form
    1,462.49/2,194.08 = 488.66/x
  3. Step 3: Cross multiply
    1,462.49x = 2,194.08 × 488.66
  4. Step 4: Simplify right side
    1,462.49x = 1,072,159.13
  5. Step 5: Solve for x
    x = 1,072,159.13/1,462.49
  6. Step 6: Final answer
    x = 733.11

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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.