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Finding the Fourth Proportional to 1,106.46, 1,657.19 and 558.83

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Solution

The fourth proportional to 1,106.46, 1,657.19 and 558.83 is: 836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.46 : 1,657.19 = 558.83 : x
  2. Step 2: Convert to fraction form
    1,106.46/1,657.19 = 558.83/x
  3. Step 3: Cross multiply
    1,106.46x = 1,657.19 × 558.83
  4. Step 4: Simplify right side
    1,106.46x = 926,093.03
  5. Step 5: Solve for x
    x = 926,093.03/1,106.46
  6. Step 6: Final answer
    x = 836.99

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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.