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Finding the Fourth Proportional to 859.57, 1,186.29 and 752.23

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Solution

The fourth proportional to 859.57, 1,186.29 and 752.23 is: 1,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.57 : 1,186.29 = 752.23 : x
  2. Step 2: Convert to fraction form
    859.57/1,186.29 = 752.23/x
  3. Step 3: Cross multiply
    859.57x = 1,186.29 × 752.23
  4. Step 4: Simplify right side
    859.57x = 892,362.93
  5. Step 5: Solve for x
    x = 892,362.93/859.57
  6. Step 6: Final answer
    x = 1,038.15

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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.