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Finding the Fourth Proportional to 1,264.73, 1,897.23 and 387.23

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Solution

The fourth proportional to 1,264.73, 1,897.23 and 387.23 is: 580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.73 : 1,897.23 = 387.23 : x
  2. Step 2: Convert to fraction form
    1,264.73/1,897.23 = 387.23/x
  3. Step 3: Cross multiply
    1,264.73x = 1,897.23 × 387.23
  4. Step 4: Simplify right side
    1,264.73x = 734,664.37
  5. Step 5: Solve for x
    x = 734,664.37/1,264.73
  6. Step 6: Final answer
    x = 580.89

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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.