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Finding the Fourth Proportional to 1,093.67, 1,509.28 and 596.32

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Solution

The fourth proportional to 1,093.67, 1,509.28 and 596.32 is: 822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.67 : 1,509.28 = 596.32 : x
  2. Step 2: Convert to fraction form
    1,093.67/1,509.28 = 596.32/x
  3. Step 3: Cross multiply
    1,093.67x = 1,509.28 × 596.32
  4. Step 4: Simplify right side
    1,093.67x = 900,008.59
  5. Step 5: Solve for x
    x = 900,008.59/1,093.67
  6. Step 6: Final answer
    x = 822.93

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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.