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Finding the Fourth Proportional to 1,284.86, 1,772.38 and 812.61

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Solution

The fourth proportional to 1,284.86, 1,772.38 and 812.61 is: 1,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.86 : 1,772.38 = 812.61 : x
  2. Step 2: Convert to fraction form
    1,284.86/1,772.38 = 812.61/x
  3. Step 3: Cross multiply
    1,284.86x = 1,772.38 × 812.61
  4. Step 4: Simplify right side
    1,284.86x = 1,440,253.71
  5. Step 5: Solve for x
    x = 1,440,253.71/1,284.86
  6. Step 6: Final answer
    x = 1,120.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.