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Finding the Fourth Proportional to 918.56, 1,267.47 and 564.54

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Solution

The fourth proportional to 918.56, 1,267.47 and 564.54 is: 778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.56 : 1,267.47 = 564.54 : x
  2. Step 2: Convert to fraction form
    918.56/1,267.47 = 564.54/x
  3. Step 3: Cross multiply
    918.56x = 1,267.47 × 564.54
  4. Step 4: Simplify right side
    918.56x = 715,537.51
  5. Step 5: Solve for x
    x = 715,537.51/918.56
  6. Step 6: Final answer
    x = 778.98

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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.