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Finding the Fourth Proportional to 1,093.38, 1,508.80 and 595.98

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Solution

The fourth proportional to 1,093.38, 1,508.80 and 595.98 is: 822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.38 : 1,508.80 = 595.98 : x
  2. Step 2: Convert to fraction form
    1,093.38/1,508.80 = 595.98/x
  3. Step 3: Cross multiply
    1,093.38x = 1,508.80 × 595.98
  4. Step 4: Simplify right side
    1,093.38x = 899,214.62
  5. Step 5: Solve for x
    x = 899,214.62/1,093.38
  6. Step 6: Final answer
    x = 822.42

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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.