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Finding the Fourth Proportional to 914.25, 1,261.76 and 565.05

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Solution

The fourth proportional to 914.25, 1,261.76 and 565.05 is: 779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.25 : 1,261.76 = 565.05 : x
  2. Step 2: Convert to fraction form
    914.25/1,261.76 = 565.05/x
  3. Step 3: Cross multiply
    914.25x = 1,261.76 × 565.05
  4. Step 4: Simplify right side
    914.25x = 712,954.66
  5. Step 5: Solve for x
    x = 712,954.66/914.25
  6. Step 6: Final answer
    x = 779.82

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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.