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Finding the Fourth Proportional to 1,172.91, 1,758.96 and 523.29

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Solution

The fourth proportional to 1,172.91, 1,758.96 and 523.29 is: 784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.91 : 1,758.96 = 523.29 : x
  2. Step 2: Convert to fraction form
    1,172.91/1,758.96 = 523.29/x
  3. Step 3: Cross multiply
    1,172.91x = 1,758.96 × 523.29
  4. Step 4: Simplify right side
    1,172.91x = 920,446.18
  5. Step 5: Solve for x
    x = 920,446.18/1,172.91
  6. Step 6: Final answer
    x = 784.75

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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.