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Finding the Fourth Proportional to 1,201.34, 1,802.12 and 335.66

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Solution

The fourth proportional to 1,201.34, 1,802.12 and 335.66 is: 503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.34 : 1,802.12 = 335.66 : x
  2. Step 2: Convert to fraction form
    1,201.34/1,802.12 = 335.66/x
  3. Step 3: Cross multiply
    1,201.34x = 1,802.12 × 335.66
  4. Step 4: Simplify right side
    1,201.34x = 604,899.60
  5. Step 5: Solve for x
    x = 604,899.60/1,201.34
  6. Step 6: Final answer
    x = 503.52

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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.