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Finding the Fourth Proportional to 924.46, 1,384.74 and 892.49

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Solution

The fourth proportional to 924.46, 1,384.74 and 892.49 is: 1,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.46 : 1,384.74 = 892.49 : x
  2. Step 2: Convert to fraction form
    924.46/1,384.74 = 892.49/x
  3. Step 3: Cross multiply
    924.46x = 1,384.74 × 892.49
  4. Step 4: Simplify right side
    924.46x = 1,235,870.06
  5. Step 5: Solve for x
    x = 1,235,870.06/924.46
  6. Step 6: Final answer
    x = 1,336.86

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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.