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Finding the Fourth Proportional to 917.21, 1,377.09 and 734.01

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Solution

The fourth proportional to 917.21, 1,377.09 and 734.01 is: 1,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.21 : 1,377.09 = 734.01 : x
  2. Step 2: Convert to fraction form
    917.21/1,377.09 = 734.01/x
  3. Step 3: Cross multiply
    917.21x = 1,377.09 × 734.01
  4. Step 4: Simplify right side
    917.21x = 1,010,797.83
  5. Step 5: Solve for x
    x = 1,010,797.83/917.21
  6. Step 6: Final answer
    x = 1,102.04

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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.