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Finding the Fourth Proportional to 1,140.38, 1,709.64 and 523.76

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Solution

The fourth proportional to 1,140.38, 1,709.64 and 523.76 is: 785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.38 : 1,709.64 = 523.76 : x
  2. Step 2: Convert to fraction form
    1,140.38/1,709.64 = 523.76/x
  3. Step 3: Cross multiply
    1,140.38x = 1,709.64 × 523.76
  4. Step 4: Simplify right side
    1,140.38x = 895,432.50
  5. Step 5: Solve for x
    x = 895,432.50/1,140.38
  6. Step 6: Final answer
    x = 785.21

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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.