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Finding the Fourth Proportional to 1,340.40, 2,009.64 and 690.72

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Solution

The fourth proportional to 1,340.40, 2,009.64 and 690.72 is: 1,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.40 : 2,009.64 = 690.72 : x
  2. Step 2: Convert to fraction form
    1,340.40/2,009.64 = 690.72/x
  3. Step 3: Cross multiply
    1,340.40x = 2,009.64 × 690.72
  4. Step 4: Simplify right side
    1,340.40x = 1,388,098.54
  5. Step 5: Solve for x
    x = 1,388,098.54/1,340.40
  6. Step 6: Final answer
    x = 1,035.59

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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.