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Finding the Fourth Proportional to 1,708.25, 2,560.66 and 666.81

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Solution

The fourth proportional to 1,708.25, 2,560.66 and 666.81 is: 999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.25 : 2,560.66 = 666.81 : x
  2. Step 2: Convert to fraction form
    1,708.25/2,560.66 = 666.81/x
  3. Step 3: Cross multiply
    1,708.25x = 2,560.66 × 666.81
  4. Step 4: Simplify right side
    1,708.25x = 1,707,470.36
  5. Step 5: Solve for x
    x = 1,707,470.36/1,708.25
  6. Step 6: Final answer
    x = 999.55

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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.