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Finding the Fourth Proportional to 633.46, 948.57 and 536.26

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Solution

The fourth proportional to 633.46, 948.57 and 536.26 is: 803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.46 : 948.57 = 536.26 : x
  2. Step 2: Convert to fraction form
    633.46/948.57 = 536.26/x
  3. Step 3: Cross multiply
    633.46x = 948.57 × 536.26
  4. Step 4: Simplify right side
    633.46x = 508,680.15
  5. Step 5: Solve for x
    x = 508,680.15/633.46
  6. Step 6: Final answer
    x = 803.02

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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.