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Finding the Fourth Proportional to 918.14, 1,267.02 and 504.14

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Solution

The fourth proportional to 918.14, 1,267.02 and 504.14 is: 695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.14 : 1,267.02 = 504.14 : x
  2. Step 2: Convert to fraction form
    918.14/1,267.02 = 504.14/x
  3. Step 3: Cross multiply
    918.14x = 1,267.02 × 504.14
  4. Step 4: Simplify right side
    918.14x = 638,755.46
  5. Step 5: Solve for x
    x = 638,755.46/918.14
  6. Step 6: Final answer
    x = 695.71

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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.