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Finding the Fourth Proportional to 1,335.99, 2,003.81 and 411.58

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Solution

The fourth proportional to 1,335.99, 2,003.81 and 411.58 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.99 : 2,003.81 = 411.58 : x
  2. Step 2: Convert to fraction form
    1,335.99/2,003.81 = 411.58/x
  3. Step 3: Cross multiply
    1,335.99x = 2,003.81 × 411.58
  4. Step 4: Simplify right side
    1,335.99x = 824,722.08
  5. Step 5: Solve for x
    x = 824,722.08/1,335.99
  6. Step 6: Final answer
    x = 617.31

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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.