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Finding the Fourth Proportional to 1,594.70, 2,200.50 and 886.53

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Solution

The fourth proportional to 1,594.70, 2,200.50 and 886.53 is: 1,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.70 : 2,200.50 = 886.53 : x
  2. Step 2: Convert to fraction form
    1,594.70/2,200.50 = 886.53/x
  3. Step 3: Cross multiply
    1,594.70x = 2,200.50 × 886.53
  4. Step 4: Simplify right side
    1,594.70x = 1,950,809.27
  5. Step 5: Solve for x
    x = 1,950,809.27/1,594.70
  6. Step 6: Final answer
    x = 1,223.31

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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.