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Finding the Fourth Proportional to 917.78, 1,376.75 and 301.23

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Solution

The fourth proportional to 917.78, 1,376.75 and 301.23 is: 451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.78 : 1,376.75 = 301.23 : x
  2. Step 2: Convert to fraction form
    917.78/1,376.75 = 301.23/x
  3. Step 3: Cross multiply
    917.78x = 1,376.75 × 301.23
  4. Step 4: Simplify right side
    917.78x = 414,719.16
  5. Step 5: Solve for x
    x = 414,719.16/917.78
  6. Step 6: Final answer
    x = 451.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.