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Finding the Fourth Proportional to 1,051.13, 1,450.25 and 658.15

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Solution

The fourth proportional to 1,051.13, 1,450.25 and 658.15 is: 908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.13 : 1,450.25 = 658.15 : x
  2. Step 2: Convert to fraction form
    1,051.13/1,450.25 = 658.15/x
  3. Step 3: Cross multiply
    1,051.13x = 1,450.25 × 658.15
  4. Step 4: Simplify right side
    1,051.13x = 954,485.37
  5. Step 5: Solve for x
    x = 954,485.37/1,051.13
  6. Step 6: Final answer
    x = 908.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.