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Finding the Fourth Proportional to 873.14, 1,309.45 and 256.83

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Solution

The fourth proportional to 873.14, 1,309.45 and 256.83 is: 385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.14 : 1,309.45 = 256.83 : x
  2. Step 2: Convert to fraction form
    873.14/1,309.45 = 256.83/x
  3. Step 3: Cross multiply
    873.14x = 1,309.45 × 256.83
  4. Step 4: Simplify right side
    873.14x = 336,304.66
  5. Step 5: Solve for x
    x = 336,304.66/873.14
  6. Step 6: Final answer
    x = 385.17

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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.