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Finding the Fourth Proportional to 914.31, 1,261.75 and 565

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Solution

The fourth proportional to 914.31, 1,261.75 and 565 is: 779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.31 : 1,261.75 = 565 : x
  2. Step 2: Convert to fraction form
    914.31/1,261.75 = 565/x
  3. Step 3: Cross multiply
    914.31x = 1,261.75 × 565
  4. Step 4: Simplify right side
    914.31x = 712,888.75
  5. Step 5: Solve for x
    x = 712,888.75/914.31
  6. Step 6: Final answer
    x = 779.70

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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.