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Finding the Fourth Proportional to 1,342.80, 2,014.24 and 477.84

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Solution

The fourth proportional to 1,342.80, 2,014.24 and 477.84 is: 716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.80 : 2,014.24 = 477.84 : x
  2. Step 2: Convert to fraction form
    1,342.80/2,014.24 = 477.84/x
  3. Step 3: Cross multiply
    1,342.80x = 2,014.24 × 477.84
  4. Step 4: Simplify right side
    1,342.80x = 962,484.44
  5. Step 5: Solve for x
    x = 962,484.44/1,342.80
  6. Step 6: Final answer
    x = 716.77

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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.