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Finding the Fourth Proportional to 918.38, 1,267.54 and 525.54

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Solution

The fourth proportional to 918.38, 1,267.54 and 525.54 is: 725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.38 : 1,267.54 = 525.54 : x
  2. Step 2: Convert to fraction form
    918.38/1,267.54 = 525.54/x
  3. Step 3: Cross multiply
    918.38x = 1,267.54 × 525.54
  4. Step 4: Simplify right side
    918.38x = 666,142.97
  5. Step 5: Solve for x
    x = 666,142.97/918.38
  6. Step 6: Final answer
    x = 725.35

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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.