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Finding the Fourth Proportional to 1,344.64, 2,015.76 and 478.84

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Solution

The fourth proportional to 1,344.64, 2,015.76 and 478.84 is: 717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.64 : 2,015.76 = 478.84 : x
  2. Step 2: Convert to fraction form
    1,344.64/2,015.76 = 478.84/x
  3. Step 3: Cross multiply
    1,344.64x = 2,015.76 × 478.84
  4. Step 4: Simplify right side
    1,344.64x = 965,226.52
  5. Step 5: Solve for x
    x = 965,226.52/1,344.64
  6. Step 6: Final answer
    x = 717.83

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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.