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Finding the Fourth Proportional to 918.74, 1,267.66 and 582.74

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Solution

The fourth proportional to 918.74, 1,267.66 and 582.74 is: 804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.74 : 1,267.66 = 582.74 : x
  2. Step 2: Convert to fraction form
    918.74/1,267.66 = 582.74/x
  3. Step 3: Cross multiply
    918.74x = 1,267.66 × 582.74
  4. Step 4: Simplify right side
    918.74x = 738,716.19
  5. Step 5: Solve for x
    x = 738,716.19/918.74
  6. Step 6: Final answer
    x = 804.05

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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.