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Finding the Fourth Proportional to 918.19, 1,267.14 and 564.22

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Solution

The fourth proportional to 918.19, 1,267.14 and 564.22 is: 778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.19 : 1,267.14 = 564.22 : x
  2. Step 2: Convert to fraction form
    918.19/1,267.14 = 564.22/x
  3. Step 3: Cross multiply
    918.19x = 1,267.14 × 564.22
  4. Step 4: Simplify right side
    918.19x = 714,945.73
  5. Step 5: Solve for x
    x = 714,945.73/918.19
  6. Step 6: Final answer
    x = 778.65

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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.