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Finding the Fourth Proportional to 742.77, 1,114.55 and 435.23

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Solution

The fourth proportional to 742.77, 1,114.55 and 435.23 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.77 : 1,114.55 = 435.23 : x
  2. Step 2: Convert to fraction form
    742.77/1,114.55 = 435.23/x
  3. Step 3: Cross multiply
    742.77x = 1,114.55 × 435.23
  4. Step 4: Simplify right side
    742.77x = 485,077.85
  5. Step 5: Solve for x
    x = 485,077.85/742.77
  6. Step 6: Final answer
    x = 653.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.