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Finding the Fourth Proportional to 1,019.99, 1,408.16 and 671.69

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Solution

The fourth proportional to 1,019.99, 1,408.16 and 671.69 is: 927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.99 : 1,408.16 = 671.69 : x
  2. Step 2: Convert to fraction form
    1,019.99/1,408.16 = 671.69/x
  3. Step 3: Cross multiply
    1,019.99x = 1,408.16 × 671.69
  4. Step 4: Simplify right side
    1,019.99x = 945,841.63
  5. Step 5: Solve for x
    x = 945,841.63/1,019.99
  6. Step 6: Final answer
    x = 927.31

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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.