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Finding the Fourth Proportional to 1,479.16, 2,218.74 and 601.75

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Solution

The fourth proportional to 1,479.16, 2,218.74 and 601.75 is: 902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.16 : 2,218.74 = 601.75 : x
  2. Step 2: Convert to fraction form
    1,479.16/2,218.74 = 601.75/x
  3. Step 3: Cross multiply
    1,479.16x = 2,218.74 × 601.75
  4. Step 4: Simplify right side
    1,479.16x = 1,335,126.80
  5. Step 5: Solve for x
    x = 1,335,126.80/1,479.16
  6. Step 6: Final answer
    x = 902.63

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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.