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Finding the Fourth Proportional to 1,478.74, 2,218.38 and 504.99

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Solution

The fourth proportional to 1,478.74, 2,218.38 and 504.99 is: 757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.74 : 2,218.38 = 504.99 : x
  2. Step 2: Convert to fraction form
    1,478.74/2,218.38 = 504.99/x
  3. Step 3: Cross multiply
    1,478.74x = 2,218.38 × 504.99
  4. Step 4: Simplify right side
    1,478.74x = 1,120,259.72
  5. Step 5: Solve for x
    x = 1,120,259.72/1,478.74
  6. Step 6: Final answer
    x = 757.58

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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.