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Finding the Fourth Proportional to 1,284.78, 1,927.41 and 463.08

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Solution

The fourth proportional to 1,284.78, 1,927.41 and 463.08 is: 694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.78 : 1,927.41 = 463.08 : x
  2. Step 2: Convert to fraction form
    1,284.78/1,927.41 = 463.08/x
  3. Step 3: Cross multiply
    1,284.78x = 1,927.41 × 463.08
  4. Step 4: Simplify right side
    1,284.78x = 892,545.02
  5. Step 5: Solve for x
    x = 892,545.02/1,284.78
  6. Step 6: Final answer
    x = 694.71

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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.