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Finding the Fourth Proportional to 1,086.57, 1,630.04 and 538.77

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Solution

The fourth proportional to 1,086.57, 1,630.04 and 538.77 is: 808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.57 : 1,630.04 = 538.77 : x
  2. Step 2: Convert to fraction form
    1,086.57/1,630.04 = 538.77/x
  3. Step 3: Cross multiply
    1,086.57x = 1,630.04 × 538.77
  4. Step 4: Simplify right side
    1,086.57x = 878,213.96
  5. Step 5: Solve for x
    x = 878,213.96/1,086.57
  6. Step 6: Final answer
    x = 808.24

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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.