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Finding the Fourth Proportional to 1,284.52, 1,926.84 and 418.75

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Solution

The fourth proportional to 1,284.52, 1,926.84 and 418.75 is: 628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.52 : 1,926.84 = 418.75 : x
  2. Step 2: Convert to fraction form
    1,284.52/1,926.84 = 418.75/x
  3. Step 3: Cross multiply
    1,284.52x = 1,926.84 × 418.75
  4. Step 4: Simplify right side
    1,284.52x = 806,864.25
  5. Step 5: Solve for x
    x = 806,864.25/1,284.52
  6. Step 6: Final answer
    x = 628.14

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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.