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Finding the Fourth Proportional to 1,223.96, 1,835.28 and 402.12

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Solution

The fourth proportional to 1,223.96, 1,835.28 and 402.12 is: 602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.96 : 1,835.28 = 402.12 : x
  2. Step 2: Convert to fraction form
    1,223.96/1,835.28 = 402.12/x
  3. Step 3: Cross multiply
    1,223.96x = 1,835.28 × 402.12
  4. Step 4: Simplify right side
    1,223.96x = 738,002.79
  5. Step 5: Solve for x
    x = 738,002.79/1,223.96
  6. Step 6: Final answer
    x = 602.97

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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.