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Finding the Fourth Proportional to 1,203.17, 1,803.66 and 433.49

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Solution

The fourth proportional to 1,203.17, 1,803.66 and 433.49 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.17 : 1,803.66 = 433.49 : x
  2. Step 2: Convert to fraction form
    1,203.17/1,803.66 = 433.49/x
  3. Step 3: Cross multiply
    1,203.17x = 1,803.66 × 433.49
  4. Step 4: Simplify right side
    1,203.17x = 781,859.56
  5. Step 5: Solve for x
    x = 781,859.56/1,203.17
  6. Step 6: Final answer
    x = 649.84

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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.