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Finding the Fourth Proportional to 734.85, 1,014.08 and 455.01

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Solution

The fourth proportional to 734.85, 1,014.08 and 455.01 is: 627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.85 : 1,014.08 = 455.01 : x
  2. Step 2: Convert to fraction form
    734.85/1,014.08 = 455.01/x
  3. Step 3: Cross multiply
    734.85x = 1,014.08 × 455.01
  4. Step 4: Simplify right side
    734.85x = 461,414.27
  5. Step 5: Solve for x
    x = 461,414.27/734.85
  6. Step 6: Final answer
    x = 627.90

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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.