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Finding the Fourth Proportional to 1,344.71, 2,016.46 and 479.05

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Solution

The fourth proportional to 1,344.71, 2,016.46 and 479.05 is: 718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.71 : 2,016.46 = 479.05 : x
  2. Step 2: Convert to fraction form
    1,344.71/2,016.46 = 479.05/x
  3. Step 3: Cross multiply
    1,344.71x = 2,016.46 × 479.05
  4. Step 4: Simplify right side
    1,344.71x = 965,980.72
  5. Step 5: Solve for x
    x = 965,980.72/1,344.71
  6. Step 6: Final answer
    x = 718.35

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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.