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Finding the Fourth Proportional to 1,264.92, 1,897 and 679.56

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Solution

The fourth proportional to 1,264.92, 1,897 and 679.56 is: 1,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.92 : 1,897 = 679.56 : x
  2. Step 2: Convert to fraction form
    1,264.92/1,897 = 679.56/x
  3. Step 3: Cross multiply
    1,264.92x = 1,897 × 679.56
  4. Step 4: Simplify right side
    1,264.92x = 1,289,125.32
  5. Step 5: Solve for x
    x = 1,289,125.32/1,264.92
  6. Step 6: Final answer
    x = 1,019.14

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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.