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Finding the Fourth Proportional to 1,790.46, 2,686.07 and 557.84

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Solution

The fourth proportional to 1,790.46, 2,686.07 and 557.84 is: 836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.46 : 2,686.07 = 557.84 : x
  2. Step 2: Convert to fraction form
    1,790.46/2,686.07 = 557.84/x
  3. Step 3: Cross multiply
    1,790.46x = 2,686.07 × 557.84
  4. Step 4: Simplify right side
    1,790.46x = 1,498,397.29
  5. Step 5: Solve for x
    x = 1,498,397.29/1,790.46
  6. Step 6: Final answer
    x = 836.88

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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.