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Finding the Fourth Proportional to 1,284.14, 1,924.99 and 634.52

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Solution

The fourth proportional to 1,284.14, 1,924.99 and 634.52 is: 951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.14 : 1,924.99 = 634.52 : x
  2. Step 2: Convert to fraction form
    1,284.14/1,924.99 = 634.52/x
  3. Step 3: Cross multiply
    1,284.14x = 1,924.99 × 634.52
  4. Step 4: Simplify right side
    1,284.14x = 1,221,447.88
  5. Step 5: Solve for x
    x = 1,221,447.88/1,284.14
  6. Step 6: Final answer
    x = 951.18

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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.