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Finding the Fourth Proportional to 850.30, 1,275.45 and 658.06

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Solution

The fourth proportional to 850.30, 1,275.45 and 658.06 is: 987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.30 : 1,275.45 = 658.06 : x
  2. Step 2: Convert to fraction form
    850.30/1,275.45 = 658.06/x
  3. Step 3: Cross multiply
    850.30x = 1,275.45 × 658.06
  4. Step 4: Simplify right side
    850.30x = 839,322.63
  5. Step 5: Solve for x
    x = 839,322.63/850.30
  6. Step 6: Final answer
    x = 987.09

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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.