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Finding the Fourth Proportional to 1,093.49, 1,509.01 and 596.14

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Solution

The fourth proportional to 1,093.49, 1,509.01 and 596.14 is: 822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.49 : 1,509.01 = 596.14 : x
  2. Step 2: Convert to fraction form
    1,093.49/1,509.01 = 596.14/x
  3. Step 3: Cross multiply
    1,093.49x = 1,509.01 × 596.14
  4. Step 4: Simplify right side
    1,093.49x = 899,575.96
  5. Step 5: Solve for x
    x = 899,575.96/1,093.49
  6. Step 6: Final answer
    x = 822.67

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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.