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Finding the Fourth Proportional to 859.48, 1,186.26 and 564.58

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Solution

The fourth proportional to 859.48, 1,186.26 and 564.58 is: 779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.48 : 1,186.26 = 564.58 : x
  2. Step 2: Convert to fraction form
    859.48/1,186.26 = 564.58/x
  3. Step 3: Cross multiply
    859.48x = 1,186.26 × 564.58
  4. Step 4: Simplify right side
    859.48x = 669,738.67
  5. Step 5: Solve for x
    x = 669,738.67/859.48
  6. Step 6: Final answer
    x = 779.24

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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.