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Finding the Fourth Proportional to 1,093.21, 1,508.64 and 595.85

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Solution

The fourth proportional to 1,093.21, 1,508.64 and 595.85 is: 822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.21 : 1,508.64 = 595.85 : x
  2. Step 2: Convert to fraction form
    1,093.21/1,508.64 = 595.85/x
  3. Step 3: Cross multiply
    1,093.21x = 1,508.64 × 595.85
  4. Step 4: Simplify right side
    1,093.21x = 898,919.02
  5. Step 5: Solve for x
    x = 898,919.02/1,093.21
  6. Step 6: Final answer
    x = 822.28

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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.