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Finding the Fourth Proportional to 1,223.90, 1,836 and 402.02

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Solution

The fourth proportional to 1,223.90, 1,836 and 402.02 is: 603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.90 : 1,836 = 402.02 : x
  2. Step 2: Convert to fraction form
    1,223.90/1,836 = 402.02/x
  3. Step 3: Cross multiply
    1,223.90x = 1,836 × 402.02
  4. Step 4: Simplify right side
    1,223.90x = 738,108.72
  5. Step 5: Solve for x
    x = 738,108.72/1,223.90
  6. Step 6: Final answer
    x = 603.08

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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.