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Finding the Fourth Proportional to 1,106.94, 1,657.20 and 862.74

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Solution

The fourth proportional to 1,106.94, 1,657.20 and 862.74 is: 1,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.94 : 1,657.20 = 862.74 : x
  2. Step 2: Convert to fraction form
    1,106.94/1,657.20 = 862.74/x
  3. Step 3: Cross multiply
    1,106.94x = 1,657.20 × 862.74
  4. Step 4: Simplify right side
    1,106.94x = 1,429,732.73
  5. Step 5: Solve for x
    x = 1,429,732.73/1,106.94
  6. Step 6: Final answer
    x = 1,291.61

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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.