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Finding the Fourth Proportional to 1,094.18, 1,509.97 and 596.83

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Solution

The fourth proportional to 1,094.18, 1,509.97 and 596.83 is: 823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.18 : 1,509.97 = 596.83 : x
  2. Step 2: Convert to fraction form
    1,094.18/1,509.97 = 596.83/x
  3. Step 3: Cross multiply
    1,094.18x = 1,509.97 × 596.83
  4. Step 4: Simplify right side
    1,094.18x = 901,187.85
  5. Step 5: Solve for x
    x = 901,187.85/1,094.18
  6. Step 6: Final answer
    x = 823.62

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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.