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Finding the Fourth Proportional to 1,093.70, 1,509.27 and 596.35

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Solution

The fourth proportional to 1,093.70, 1,509.27 and 596.35 is: 822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.70 : 1,509.27 = 596.35 : x
  2. Step 2: Convert to fraction form
    1,093.70/1,509.27 = 596.35/x
  3. Step 3: Cross multiply
    1,093.70x = 1,509.27 × 596.35
  4. Step 4: Simplify right side
    1,093.70x = 900,044.13
  5. Step 5: Solve for x
    x = 900,044.13/1,093.70
  6. Step 6: Final answer
    x = 822.94

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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.