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Finding the Fourth Proportional to 1,093.46, 1,508.94 and 596.12

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Solution

The fourth proportional to 1,093.46, 1,508.94 and 596.12 is: 822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.46 : 1,508.94 = 596.12 : x
  2. Step 2: Convert to fraction form
    1,093.46/1,508.94 = 596.12/x
  3. Step 3: Cross multiply
    1,093.46x = 1,508.94 × 596.12
  4. Step 4: Simplify right side
    1,093.46x = 899,509.31
  5. Step 5: Solve for x
    x = 899,509.31/1,093.46
  6. Step 6: Final answer
    x = 822.63

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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.