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Finding the Fourth Proportional to 1,335.66, 2,003.81 and 458.21

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Solution

The fourth proportional to 1,335.66, 2,003.81 and 458.21 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.66 : 2,003.81 = 458.21 : x
  2. Step 2: Convert to fraction form
    1,335.66/2,003.81 = 458.21/x
  3. Step 3: Cross multiply
    1,335.66x = 2,003.81 × 458.21
  4. Step 4: Simplify right side
    1,335.66x = 918,153.47
  5. Step 5: Solve for x
    x = 918,153.47/1,335.66
  6. Step 6: Final answer
    x = 687.42

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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.