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Finding the Fourth Proportional to 1,106.80, 1,527.62 and 634.77

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Solution

The fourth proportional to 1,106.80, 1,527.62 and 634.77 is: 876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.80 : 1,527.62 = 634.77 : x
  2. Step 2: Convert to fraction form
    1,106.80/1,527.62 = 634.77/x
  3. Step 3: Cross multiply
    1,106.80x = 1,527.62 × 634.77
  4. Step 4: Simplify right side
    1,106.80x = 969,684.17
  5. Step 5: Solve for x
    x = 969,684.17/1,106.80
  6. Step 6: Final answer
    x = 876.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.