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Finding the Fourth Proportional to 914.26, 1,261.66 and 564.94

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Solution

The fourth proportional to 914.26, 1,261.66 and 564.94 is: 779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.26 : 1,261.66 = 564.94 : x
  2. Step 2: Convert to fraction form
    914.26/1,261.66 = 564.94/x
  3. Step 3: Cross multiply
    914.26x = 1,261.66 × 564.94
  4. Step 4: Simplify right side
    914.26x = 712,762.20
  5. Step 5: Solve for x
    x = 712,762.20/914.26
  6. Step 6: Final answer
    x = 779.61

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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.