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Finding the Fourth Proportional to 519.93, 780 and 154.74

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Solution

The fourth proportional to 519.93, 780 and 154.74 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.93 : 780 = 154.74 : x
  2. Step 2: Convert to fraction form
    519.93/780 = 154.74/x
  3. Step 3: Cross multiply
    519.93x = 780 × 154.74
  4. Step 4: Simplify right side
    519.93x = 120,697.20
  5. Step 5: Solve for x
    x = 120,697.20/519.93
  6. Step 6: Final answer
    x = 232.14

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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.