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Finding the Fourth Proportional to 1,145.08, 1,716.07 and 596.15

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Solution

The fourth proportional to 1,145.08, 1,716.07 and 596.15 is: 893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.08 : 1,716.07 = 596.15 : x
  2. Step 2: Convert to fraction form
    1,145.08/1,716.07 = 596.15/x
  3. Step 3: Cross multiply
    1,145.08x = 1,716.07 × 596.15
  4. Step 4: Simplify right side
    1,145.08x = 1,023,035.13
  5. Step 5: Solve for x
    x = 1,023,035.13/1,145.08
  6. Step 6: Final answer
    x = 893.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.