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Finding the Fourth Proportional to 1,093.77, 1,509.34 and 596.39

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Solution

The fourth proportional to 1,093.77, 1,509.34 and 596.39 is: 822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.77 : 1,509.34 = 596.39 : x
  2. Step 2: Convert to fraction form
    1,093.77/1,509.34 = 596.39/x
  3. Step 3: Cross multiply
    1,093.77x = 1,509.34 × 596.39
  4. Step 4: Simplify right side
    1,093.77x = 900,144.75
  5. Step 5: Solve for x
    x = 900,144.75/1,093.77
  6. Step 6: Final answer
    x = 822.97

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1.5x scale

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.