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Finding the Fourth Proportional to 1,222.76, 1,833.76 and 400.84

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Solution

The fourth proportional to 1,222.76, 1,833.76 and 400.84 is: 601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.76 : 1,833.76 = 400.84 : x
  2. Step 2: Convert to fraction form
    1,222.76/1,833.76 = 400.84/x
  3. Step 3: Cross multiply
    1,222.76x = 1,833.76 × 400.84
  4. Step 4: Simplify right side
    1,222.76x = 735,044.36
  5. Step 5: Solve for x
    x = 735,044.36/1,222.76
  6. Step 6: Final answer
    x = 601.14

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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.