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Finding the Fourth Proportional to 1,019.03, 1,406.73 and 683.48

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Solution

The fourth proportional to 1,019.03, 1,406.73 and 683.48 is: 943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.03 : 1,406.73 = 683.48 : x
  2. Step 2: Convert to fraction form
    1,019.03/1,406.73 = 683.48/x
  3. Step 3: Cross multiply
    1,019.03x = 1,406.73 × 683.48
  4. Step 4: Simplify right side
    1,019.03x = 961,477.90
  5. Step 5: Solve for x
    x = 961,477.90/1,019.03
  6. Step 6: Final answer
    x = 943.53

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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.