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Finding the Fourth Proportional to 523.88, 785.87 and 139.13

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Solution

The fourth proportional to 523.88, 785.87 and 139.13 is: 208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.88 : 785.87 = 139.13 : x
  2. Step 2: Convert to fraction form
    523.88/785.87 = 139.13/x
  3. Step 3: Cross multiply
    523.88x = 785.87 × 139.13
  4. Step 4: Simplify right side
    523.88x = 109,333.47
  5. Step 5: Solve for x
    x = 109,333.47/523.88
  6. Step 6: Final answer
    x = 208.70

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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.