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Finding the Fourth Proportional to 1,479.57, 2,219.76 and 492.47

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Solution

The fourth proportional to 1,479.57, 2,219.76 and 492.47 is: 738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.57 : 2,219.76 = 492.47 : x
  2. Step 2: Convert to fraction form
    1,479.57/2,219.76 = 492.47/x
  3. Step 3: Cross multiply
    1,479.57x = 2,219.76 × 492.47
  4. Step 4: Simplify right side
    1,479.57x = 1,093,165.21
  5. Step 5: Solve for x
    x = 1,093,165.21/1,479.57
  6. Step 6: Final answer
    x = 738.84

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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.