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Finding the Fourth Proportional to 800.86, 1,201.08 and 307.16

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Solution

The fourth proportional to 800.86, 1,201.08 and 307.16 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.86 : 1,201.08 = 307.16 : x
  2. Step 2: Convert to fraction form
    800.86/1,201.08 = 307.16/x
  3. Step 3: Cross multiply
    800.86x = 1,201.08 × 307.16
  4. Step 4: Simplify right side
    800.86x = 368,923.73
  5. Step 5: Solve for x
    x = 368,923.73/800.86
  6. Step 6: Final answer
    x = 460.66

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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.