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Finding the Fourth Proportional to 918.18, 1,267.54 and 564.17

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Solution

The fourth proportional to 918.18, 1,267.54 and 564.17 is: 778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.18 : 1,267.54 = 564.17 : x
  2. Step 2: Convert to fraction form
    918.18/1,267.54 = 564.17/x
  3. Step 3: Cross multiply
    918.18x = 1,267.54 × 564.17
  4. Step 4: Simplify right side
    918.18x = 715,100.29
  5. Step 5: Solve for x
    x = 715,100.29/918.18
  6. Step 6: Final answer
    x = 778.82

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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.