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Finding the Fourth Proportional to 1,281.92, 1,768.65 and 722.30

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Solution

The fourth proportional to 1,281.92, 1,768.65 and 722.30 is: 996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.92 : 1,768.65 = 722.30 : x
  2. Step 2: Convert to fraction form
    1,281.92/1,768.65 = 722.30/x
  3. Step 3: Cross multiply
    1,281.92x = 1,768.65 × 722.30
  4. Step 4: Simplify right side
    1,281.92x = 1,277,492.28
  5. Step 5: Solve for x
    x = 1,277,492.28/1,281.92
  6. Step 6: Final answer
    x = 996.55

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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.