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Finding the Fourth Proportional to 1,093.56, 1,509.12 and 596.20

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Solution

The fourth proportional to 1,093.56, 1,509.12 and 596.20 is: 822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.56 : 1,509.12 = 596.20 : x
  2. Step 2: Convert to fraction form
    1,093.56/1,509.12 = 596.20/x
  3. Step 3: Cross multiply
    1,093.56x = 1,509.12 × 596.20
  4. Step 4: Simplify right side
    1,093.56x = 899,741.10
  5. Step 5: Solve for x
    x = 899,741.10/1,093.56
  6. Step 6: Final answer
    x = 822.77

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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.