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Finding the Fourth Proportional to 914.10, 1,261.44 and 564.60

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Solution

The fourth proportional to 914.10, 1,261.44 and 564.60 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,261.44 = 564.60 : x
  2. Step 2: Convert to fraction form
    914.10/1,261.44 = 564.60/x
  3. Step 3: Cross multiply
    914.10x = 1,261.44 × 564.60
  4. Step 4: Simplify right side
    914.10x = 712,209.02
  5. Step 5: Solve for x
    x = 712,209.02/914.10
  6. Step 6: Final answer
    x = 779.14

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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.