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Finding the Fourth Proportional to 1,458.67, 2,187.34 and 418.43

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Solution

The fourth proportional to 1,458.67, 2,187.34 and 418.43 is: 627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.67 : 2,187.34 = 418.43 : x
  2. Step 2: Convert to fraction form
    1,458.67/2,187.34 = 418.43/x
  3. Step 3: Cross multiply
    1,458.67x = 2,187.34 × 418.43
  4. Step 4: Simplify right side
    1,458.67x = 915,252.22
  5. Step 5: Solve for x
    x = 915,252.22/1,458.67
  6. Step 6: Final answer
    x = 627.46

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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.