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Finding the Fourth Proportional to 918.56, 1,267.48 and 540.47

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Solution

The fourth proportional to 918.56, 1,267.48 and 540.47 is: 745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.56 : 1,267.48 = 540.47 : x
  2. Step 2: Convert to fraction form
    918.56/1,267.48 = 540.47/x
  3. Step 3: Cross multiply
    918.56x = 1,267.48 × 540.47
  4. Step 4: Simplify right side
    918.56x = 685,028.58
  5. Step 5: Solve for x
    x = 685,028.58/918.56
  6. Step 6: Final answer
    x = 745.77

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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.