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Finding the Fourth Proportional to 847.06, 1,270.59 and 230.77

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Solution

The fourth proportional to 847.06, 1,270.59 and 230.77 is: 346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.06 : 1,270.59 = 230.77 : x
  2. Step 2: Convert to fraction form
    847.06/1,270.59 = 230.77/x
  3. Step 3: Cross multiply
    847.06x = 1,270.59 × 230.77
  4. Step 4: Simplify right side
    847.06x = 293,218.35
  5. Step 5: Solve for x
    x = 293,218.35/847.06
  6. Step 6: Final answer
    x = 346.16

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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.