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Finding the Fourth Proportional to 1,033.06, 1,424.13 and 683.14

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Solution

The fourth proportional to 1,033.06, 1,424.13 and 683.14 is: 941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.06 : 1,424.13 = 683.14 : x
  2. Step 2: Convert to fraction form
    1,033.06/1,424.13 = 683.14/x
  3. Step 3: Cross multiply
    1,033.06x = 1,424.13 × 683.14
  4. Step 4: Simplify right side
    1,033.06x = 972,880.17
  5. Step 5: Solve for x
    x = 972,880.17/1,033.06
  6. Step 6: Final answer
    x = 941.75

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Why These Related Problems?

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