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Finding the Fourth Proportional to 933.47, 1,397.16 and 566.54

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Solution

The fourth proportional to 933.47, 1,397.16 and 566.54 is: 847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.47 : 1,397.16 = 566.54 : x
  2. Step 2: Convert to fraction form
    933.47/1,397.16 = 566.54/x
  3. Step 3: Cross multiply
    933.47x = 1,397.16 × 566.54
  4. Step 4: Simplify right side
    933.47x = 791,540.04
  5. Step 5: Solve for x
    x = 791,540.04/933.47
  6. Step 6: Final answer
    x = 847.96

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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.