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Finding the Fourth Proportional to 918.07, 1,267.41 and 582.31

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Solution

The fourth proportional to 918.07, 1,267.41 and 582.31 is: 803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.07 : 1,267.41 = 582.31 : x
  2. Step 2: Convert to fraction form
    918.07/1,267.41 = 582.31/x
  3. Step 3: Cross multiply
    918.07x = 1,267.41 × 582.31
  4. Step 4: Simplify right side
    918.07x = 738,028.94
  5. Step 5: Solve for x
    x = 738,028.94/918.07
  6. Step 6: Final answer
    x = 803.89

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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.