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Finding the Fourth Proportional to 1,046.07, 1,443.41 and 626.13

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Solution

The fourth proportional to 1,046.07, 1,443.41 and 626.13 is: 863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.07 : 1,443.41 = 626.13 : x
  2. Step 2: Convert to fraction form
    1,046.07/1,443.41 = 626.13/x
  3. Step 3: Cross multiply
    1,046.07x = 1,443.41 × 626.13
  4. Step 4: Simplify right side
    1,046.07x = 903,759.17
  5. Step 5: Solve for x
    x = 903,759.17/1,046.07
  6. Step 6: Final answer
    x = 863.96

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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.