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Finding the Fourth Proportional to 1,708.43, 2,562.74 and 538.46

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Solution

The fourth proportional to 1,708.43, 2,562.74 and 538.46 is: 807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.43 : 2,562.74 = 538.46 : x
  2. Step 2: Convert to fraction form
    1,708.43/2,562.74 = 538.46/x
  3. Step 3: Cross multiply
    1,708.43x = 2,562.74 × 538.46
  4. Step 4: Simplify right side
    1,708.43x = 1,379,943.52
  5. Step 5: Solve for x
    x = 1,379,943.52/1,708.43
  6. Step 6: Final answer
    x = 807.73

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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.