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Finding the Fourth Proportional to 859.22, 1,186.24 and 565

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Solution

The fourth proportional to 859.22, 1,186.24 and 565 is: 780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.22 : 1,186.24 = 565 : x
  2. Step 2: Convert to fraction form
    859.22/1,186.24 = 565/x
  3. Step 3: Cross multiply
    859.22x = 1,186.24 × 565
  4. Step 4: Simplify right side
    859.22x = 670,225.60
  5. Step 5: Solve for x
    x = 670,225.60/859.22
  6. Step 6: Final answer
    x = 780.04

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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.