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Finding the Fourth Proportional to 1,707.74, 2,560.47 and 667.84

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Solution

The fourth proportional to 1,707.74, 2,560.47 and 667.84 is: 1,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.74 : 2,560.47 = 667.84 : x
  2. Step 2: Convert to fraction form
    1,707.74/2,560.47 = 667.84/x
  3. Step 3: Cross multiply
    1,707.74x = 2,560.47 × 667.84
  4. Step 4: Simplify right side
    1,707.74x = 1,709,984.28
  5. Step 5: Solve for x
    x = 1,709,984.28/1,707.74
  6. Step 6: Final answer
    x = 1,001.31

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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.