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Finding the Fourth Proportional to 1,143.56, 1,716.26 and 595.91

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Solution

The fourth proportional to 1,143.56, 1,716.26 and 595.91 is: 894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.56 : 1,716.26 = 595.91 : x
  2. Step 2: Convert to fraction form
    1,143.56/1,716.26 = 595.91/x
  3. Step 3: Cross multiply
    1,143.56x = 1,716.26 × 595.91
  4. Step 4: Simplify right side
    1,143.56x = 1,022,737.81
  5. Step 5: Solve for x
    x = 1,022,737.81/1,143.56
  6. Step 6: Final answer
    x = 894.34

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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.