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Finding the Fourth Proportional to 1,093.35, 1,508.80 and 595.96

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Solution

The fourth proportional to 1,093.35, 1,508.80 and 595.96 is: 822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.35 : 1,508.80 = 595.96 : x
  2. Step 2: Convert to fraction form
    1,093.35/1,508.80 = 595.96/x
  3. Step 3: Cross multiply
    1,093.35x = 1,508.80 × 595.96
  4. Step 4: Simplify right side
    1,093.35x = 899,181.98
  5. Step 5: Solve for x
    x = 899,181.98/1,093.35
  6. Step 6: Final answer
    x = 822.41

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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.