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Finding the Fourth Proportional to 1,178.56, 1,767.63 and 520.57

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Solution

The fourth proportional to 1,178.56, 1,767.63 and 520.57 is: 780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.56 : 1,767.63 = 520.57 : x
  2. Step 2: Convert to fraction form
    1,178.56/1,767.63 = 520.57/x
  3. Step 3: Cross multiply
    1,178.56x = 1,767.63 × 520.57
  4. Step 4: Simplify right side
    1,178.56x = 920,175.15
  5. Step 5: Solve for x
    x = 920,175.15/1,178.56
  6. Step 6: Final answer
    x = 780.76

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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.