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Finding the Fourth Proportional to 1,342.92, 2,014.28 and 465.84

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Solution

The fourth proportional to 1,342.92, 2,014.28 and 465.84 is: 698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.92 : 2,014.28 = 465.84 : x
  2. Step 2: Convert to fraction form
    1,342.92/2,014.28 = 465.84/x
  3. Step 3: Cross multiply
    1,342.92x = 2,014.28 × 465.84
  4. Step 4: Simplify right side
    1,342.92x = 938,332.20
  5. Step 5: Solve for x
    x = 938,332.20/1,342.92
  6. Step 6: Final answer
    x = 698.73

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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.