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Finding the Fourth Proportional to 1,094.20, 1,509.96 and 596.86

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Solution

The fourth proportional to 1,094.20, 1,509.96 and 596.86 is: 823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.20 : 1,509.96 = 596.86 : x
  2. Step 2: Convert to fraction form
    1,094.20/1,509.96 = 596.86/x
  3. Step 3: Cross multiply
    1,094.20x = 1,509.96 × 596.86
  4. Step 4: Simplify right side
    1,094.20x = 901,234.73
  5. Step 5: Solve for x
    x = 901,234.73/1,094.20
  6. Step 6: Final answer
    x = 823.65

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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.