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Finding the Fourth Proportional to 779.92, 1,170.08 and 293

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Solution

The fourth proportional to 779.92, 1,170.08 and 293 is: 439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.92 : 1,170.08 = 293 : x
  2. Step 2: Convert to fraction form
    779.92/1,170.08 = 293/x
  3. Step 3: Cross multiply
    779.92x = 1,170.08 × 293
  4. Step 4: Simplify right side
    779.92x = 342,831.98
  5. Step 5: Solve for x
    x = 342,831.98/779.92
  6. Step 6: Final answer
    x = 439.58

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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.