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Finding the Fourth Proportional to 1,790.52, 2,684.92 and 558.06

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Solution

The fourth proportional to 1,790.52, 2,684.92 and 558.06 is: 836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.52 : 2,684.92 = 558.06 : x
  2. Step 2: Convert to fraction form
    1,790.52/2,684.92 = 558.06/x
  3. Step 3: Cross multiply
    1,790.52x = 2,684.92 × 558.06
  4. Step 4: Simplify right side
    1,790.52x = 1,498,346.46
  5. Step 5: Solve for x
    x = 1,498,346.46/1,790.52
  6. Step 6: Final answer
    x = 836.82

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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.