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Finding the Fourth Proportional to 1,342.92, 2,014.38 and 477.24

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Solution

The fourth proportional to 1,342.92, 2,014.38 and 477.24 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.92 : 2,014.38 = 477.24 : x
  2. Step 2: Convert to fraction form
    1,342.92/2,014.38 = 477.24/x
  3. Step 3: Cross multiply
    1,342.92x = 2,014.38 × 477.24
  4. Step 4: Simplify right side
    1,342.92x = 961,342.71
  5. Step 5: Solve for x
    x = 961,342.71/1,342.92
  6. Step 6: Final answer
    x = 715.86

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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.