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Finding the Fourth Proportional to 939.60, 1,296.57 and 519.93

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Solution

The fourth proportional to 939.60, 1,296.57 and 519.93 is: 717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.60 : 1,296.57 = 519.93 : x
  2. Step 2: Convert to fraction form
    939.60/1,296.57 = 519.93/x
  3. Step 3: Cross multiply
    939.60x = 1,296.57 × 519.93
  4. Step 4: Simplify right side
    939.60x = 674,125.64
  5. Step 5: Solve for x
    x = 674,125.64/939.60
  6. Step 6: Final answer
    x = 717.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.