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Finding the Fourth Proportional to 979.04, 1,350.24 and 746.24

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Solution

The fourth proportional to 979.04, 1,350.24 and 746.24 is: 1,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.04 : 1,350.24 = 746.24 : x
  2. Step 2: Convert to fraction form
    979.04/1,350.24 = 746.24/x
  3. Step 3: Cross multiply
    979.04x = 1,350.24 × 746.24
  4. Step 4: Simplify right side
    979.04x = 1,007,603.10
  5. Step 5: Solve for x
    x = 1,007,603.10/979.04
  6. Step 6: Final answer
    x = 1,029.17

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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.