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Finding the Fourth Proportional to 734.27, 1,101.07 and 417.63

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Solution

The fourth proportional to 734.27, 1,101.07 and 417.63 is: 626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.27 : 1,101.07 = 417.63 : x
  2. Step 2: Convert to fraction form
    734.27/1,101.07 = 417.63/x
  3. Step 3: Cross multiply
    734.27x = 1,101.07 × 417.63
  4. Step 4: Simplify right side
    734.27x = 459,839.86
  5. Step 5: Solve for x
    x = 459,839.86/734.27
  6. Step 6: Final answer
    x = 626.25

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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.