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Finding the Fourth Proportional to 742.67, 1,114.16 and 417.66

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Solution

The fourth proportional to 742.67, 1,114.16 and 417.66 is: 626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.67 : 1,114.16 = 417.66 : x
  2. Step 2: Convert to fraction form
    742.67/1,114.16 = 417.66/x
  3. Step 3: Cross multiply
    742.67x = 1,114.16 × 417.66
  4. Step 4: Simplify right side
    742.67x = 465,333.80
  5. Step 5: Solve for x
    x = 465,333.80/742.67
  6. Step 6: Final answer
    x = 626.57

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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.