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Finding the Fourth Proportional to 923.74, 1,384.70 and 759.72

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Solution

The fourth proportional to 923.74, 1,384.70 and 759.72 is: 1,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.74 : 1,384.70 = 759.72 : x
  2. Step 2: Convert to fraction form
    923.74/1,384.70 = 759.72/x
  3. Step 3: Cross multiply
    923.74x = 1,384.70 × 759.72
  4. Step 4: Simplify right side
    923.74x = 1,051,973.56
  5. Step 5: Solve for x
    x = 1,051,973.56/923.74
  6. Step 6: Final answer
    x = 1,138.82

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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.