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Finding the Fourth Proportional to 1,140.86, 1,709.91 and 523.71

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Solution

The fourth proportional to 1,140.86, 1,709.91 and 523.71 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.86 : 1,709.91 = 523.71 : x
  2. Step 2: Convert to fraction form
    1,140.86/1,709.91 = 523.71/x
  3. Step 3: Cross multiply
    1,140.86x = 1,709.91 × 523.71
  4. Step 4: Simplify right side
    1,140.86x = 895,496.97
  5. Step 5: Solve for x
    x = 895,496.97/1,140.86
  6. Step 6: Final answer
    x = 784.93

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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.