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Finding the Fourth Proportional to 722.92, 1,083.78 and 312

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Solution

The fourth proportional to 722.92, 1,083.78 and 312 is: 467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.92 : 1,083.78 = 312 : x
  2. Step 2: Convert to fraction form
    722.92/1,083.78 = 312/x
  3. Step 3: Cross multiply
    722.92x = 1,083.78 × 312
  4. Step 4: Simplify right side
    722.92x = 338,139.36
  5. Step 5: Solve for x
    x = 338,139.36/722.92
  6. Step 6: Final answer
    x = 467.74

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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.