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Finding the Fourth Proportional to 917.93, 1,375.84 and 398.37

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Solution

The fourth proportional to 917.93, 1,375.84 and 398.37 is: 597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.93 : 1,375.84 = 398.37 : x
  2. Step 2: Convert to fraction form
    917.93/1,375.84 = 398.37/x
  3. Step 3: Cross multiply
    917.93x = 1,375.84 × 398.37
  4. Step 4: Simplify right side
    917.93x = 548,089.06
  5. Step 5: Solve for x
    x = 548,089.06/917.93
  6. Step 6: Final answer
    x = 597.09

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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.