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Finding the Fourth Proportional to 1,340.01, 2,009.75 and 415.26

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Solution

The fourth proportional to 1,340.01, 2,009.75 and 415.26 is: 622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.01 : 2,009.75 = 415.26 : x
  2. Step 2: Convert to fraction form
    1,340.01/2,009.75 = 415.26/x
  3. Step 3: Cross multiply
    1,340.01x = 2,009.75 × 415.26
  4. Step 4: Simplify right side
    1,340.01x = 834,566.71
  5. Step 5: Solve for x
    x = 834,566.71/1,340.01
  6. Step 6: Final answer
    x = 622.81

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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.