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Finding the Fourth Proportional to 917.24, 1,265.97 and 544.42

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Solution

The fourth proportional to 917.24, 1,265.97 and 544.42 is: 751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.24 : 1,265.97 = 544.42 : x
  2. Step 2: Convert to fraction form
    917.24/1,265.97 = 544.42/x
  3. Step 3: Cross multiply
    917.24x = 1,265.97 × 544.42
  4. Step 4: Simplify right side
    917.24x = 689,223.01
  5. Step 5: Solve for x
    x = 689,223.01/917.24
  6. Step 6: Final answer
    x = 751.41

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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.