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Finding the Fourth Proportional to 934.24, 1,399.74 and 501.70

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Solution

The fourth proportional to 934.24, 1,399.74 and 501.70 is: 751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.24 : 1,399.74 = 501.70 : x
  2. Step 2: Convert to fraction form
    934.24/1,399.74 = 501.70/x
  3. Step 3: Cross multiply
    934.24x = 1,399.74 × 501.70
  4. Step 4: Simplify right side
    934.24x = 702,249.56
  5. Step 5: Solve for x
    x = 702,249.56/934.24
  6. Step 6: Final answer
    x = 751.68

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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.