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Finding the Fourth Proportional to 1,018.53, 1,528.09 and 433.22

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Solution

The fourth proportional to 1,018.53, 1,528.09 and 433.22 is: 649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.53 : 1,528.09 = 433.22 : x
  2. Step 2: Convert to fraction form
    1,018.53/1,528.09 = 433.22/x
  3. Step 3: Cross multiply
    1,018.53x = 1,528.09 × 433.22
  4. Step 4: Simplify right side
    1,018.53x = 661,990.43
  5. Step 5: Solve for x
    x = 661,990.43/1,018.53
  6. Step 6: Final answer
    x = 649.95

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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.