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Finding the Fourth Proportional to 742.57, 1,114.76 and 536.63

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Solution

The fourth proportional to 742.57, 1,114.76 and 536.63 is: 805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.57 : 1,114.76 = 536.63 : x
  2. Step 2: Convert to fraction form
    742.57/1,114.76 = 536.63/x
  3. Step 3: Cross multiply
    742.57x = 1,114.76 × 536.63
  4. Step 4: Simplify right side
    742.57x = 598,209.43
  5. Step 5: Solve for x
    x = 598,209.43/742.57
  6. Step 6: Final answer
    x = 805.60

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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.