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Finding the Fourth Proportional to 1,356.30, 2,034.03 and 523.17

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Solution

The fourth proportional to 1,356.30, 2,034.03 and 523.17 is: 784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.30 : 2,034.03 = 523.17 : x
  2. Step 2: Convert to fraction form
    1,356.30/2,034.03 = 523.17/x
  3. Step 3: Cross multiply
    1,356.30x = 2,034.03 × 523.17
  4. Step 4: Simplify right side
    1,356.30x = 1,064,143.48
  5. Step 5: Solve for x
    x = 1,064,143.48/1,356.30
  6. Step 6: Final answer
    x = 784.59

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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.