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Finding the Fourth Proportional to 1,287, 1,929.26 and 464.68

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Solution

The fourth proportional to 1,287, 1,929.26 and 464.68 is: 696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287 : 1,929.26 = 464.68 : x
  2. Step 2: Convert to fraction form
    1,287/1,929.26 = 464.68/x
  3. Step 3: Cross multiply
    1,287x = 1,929.26 × 464.68
  4. Step 4: Simplify right side
    1,287x = 896,488.54
  5. Step 5: Solve for x
    x = 896,488.54/1,287
  6. Step 6: Final answer
    x = 696.57

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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.