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Finding the Fourth Proportional to 918.40, 1,266.92 and 564.20

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Solution

The fourth proportional to 918.40, 1,266.92 and 564.20 is: 778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.40 : 1,266.92 = 564.20 : x
  2. Step 2: Convert to fraction form
    918.40/1,266.92 = 564.20/x
  3. Step 3: Cross multiply
    918.40x = 1,266.92 × 564.20
  4. Step 4: Simplify right side
    918.40x = 714,796.26
  5. Step 5: Solve for x
    x = 714,796.26/918.40
  6. Step 6: Final answer
    x = 778.31

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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.