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Finding the Fourth Proportional to 520.60, 780.91 and 173.94

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Solution

The fourth proportional to 520.60, 780.91 and 173.94 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 780.91 = 173.94 : x
  2. Step 2: Convert to fraction form
    520.60/780.91 = 173.94/x
  3. Step 3: Cross multiply
    520.60x = 780.91 × 173.94
  4. Step 4: Simplify right side
    520.60x = 135,831.49
  5. Step 5: Solve for x
    x = 135,831.49/520.60
  6. Step 6: Final answer
    x = 260.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.