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Finding the Fourth Proportional to 1,077.22, 1,611.57 and 590.61

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Solution

The fourth proportional to 1,077.22, 1,611.57 and 590.61 is: 883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.22 : 1,611.57 = 590.61 : x
  2. Step 2: Convert to fraction form
    1,077.22/1,611.57 = 590.61/x
  3. Step 3: Cross multiply
    1,077.22x = 1,611.57 × 590.61
  4. Step 4: Simplify right side
    1,077.22x = 951,809.36
  5. Step 5: Solve for x
    x = 951,809.36/1,077.22
  6. Step 6: Final answer
    x = 883.58

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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.