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Finding the Fourth Proportional to 914.01, 1,261.08 and 564.90

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Solution

The fourth proportional to 914.01, 1,261.08 and 564.90 is: 779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.01 : 1,261.08 = 564.90 : x
  2. Step 2: Convert to fraction form
    914.01/1,261.08 = 564.90/x
  3. Step 3: Cross multiply
    914.01x = 1,261.08 × 564.90
  4. Step 4: Simplify right side
    914.01x = 712,384.09
  5. Step 5: Solve for x
    x = 712,384.09/914.01
  6. Step 6: Final answer
    x = 779.41

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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.