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Finding the Fourth Proportional to 1,479.22, 2,218.22 and 505.40

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Solution

The fourth proportional to 1,479.22, 2,218.22 and 505.40 is: 757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.22 : 2,218.22 = 505.40 : x
  2. Step 2: Convert to fraction form
    1,479.22/2,218.22 = 505.40/x
  3. Step 3: Cross multiply
    1,479.22x = 2,218.22 × 505.40
  4. Step 4: Simplify right side
    1,479.22x = 1,121,088.39
  5. Step 5: Solve for x
    x = 1,121,088.39/1,479.22
  6. Step 6: Final answer
    x = 757.89

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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.