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Finding the Fourth Proportional to 1,093.24, 1,508.67 and 595.88

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Solution

The fourth proportional to 1,093.24, 1,508.67 and 595.88 is: 822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.24 : 1,508.67 = 595.88 : x
  2. Step 2: Convert to fraction form
    1,093.24/1,508.67 = 595.88/x
  3. Step 3: Cross multiply
    1,093.24x = 1,508.67 × 595.88
  4. Step 4: Simplify right side
    1,093.24x = 898,986.28
  5. Step 5: Solve for x
    x = 898,986.28/1,093.24
  6. Step 6: Final answer
    x = 822.31

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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.