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Finding the Fourth Proportional to 1,345.39, 2,014.34 and 685.84

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Solution

The fourth proportional to 1,345.39, 2,014.34 and 685.84 is: 1,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.39 : 2,014.34 = 685.84 : x
  2. Step 2: Convert to fraction form
    1,345.39/2,014.34 = 685.84/x
  3. Step 3: Cross multiply
    1,345.39x = 2,014.34 × 685.84
  4. Step 4: Simplify right side
    1,345.39x = 1,381,517.37
  5. Step 5: Solve for x
    x = 1,381,517.37/1,345.39
  6. Step 6: Final answer
    x = 1,026.85

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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.