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Finding the Fourth Proportional to 1,093.93, 1,509.64 and 596.54

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Solution

The fourth proportional to 1,093.93, 1,509.64 and 596.54 is: 823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.93 : 1,509.64 = 596.54 : x
  2. Step 2: Convert to fraction form
    1,093.93/1,509.64 = 596.54/x
  3. Step 3: Cross multiply
    1,093.93x = 1,509.64 × 596.54
  4. Step 4: Simplify right side
    1,093.93x = 900,562.93
  5. Step 5: Solve for x
    x = 900,562.93/1,093.93
  6. Step 6: Final answer
    x = 823.24

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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.