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Finding the Fourth Proportional to 1,340.34, 2,009.97 and 462.66

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Solution

The fourth proportional to 1,340.34, 2,009.97 and 462.66 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.34 : 2,009.97 = 462.66 : x
  2. Step 2: Convert to fraction form
    1,340.34/2,009.97 = 462.66/x
  3. Step 3: Cross multiply
    1,340.34x = 2,009.97 × 462.66
  4. Step 4: Simplify right side
    1,340.34x = 929,932.72
  5. Step 5: Solve for x
    x = 929,932.72/1,340.34
  6. Step 6: Final answer
    x = 693.80

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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.