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Finding the Fourth Proportional to 1,143.38, 1,716.54 and 595.94

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Solution

The fourth proportional to 1,143.38, 1,716.54 and 595.94 is: 894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.38 : 1,716.54 = 595.94 : x
  2. Step 2: Convert to fraction form
    1,143.38/1,716.54 = 595.94/x
  3. Step 3: Cross multiply
    1,143.38x = 1,716.54 × 595.94
  4. Step 4: Simplify right side
    1,143.38x = 1,022,954.85
  5. Step 5: Solve for x
    x = 1,022,954.85/1,143.38
  6. Step 6: Final answer
    x = 894.68

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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.