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Finding the Fourth Proportional to 1,021.17, 1,408.91 and 601.56

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Solution

The fourth proportional to 1,021.17, 1,408.91 and 601.56 is: 829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.17 : 1,408.91 = 601.56 : x
  2. Step 2: Convert to fraction form
    1,021.17/1,408.91 = 601.56/x
  3. Step 3: Cross multiply
    1,021.17x = 1,408.91 × 601.56
  4. Step 4: Simplify right side
    1,021.17x = 847,536.86
  5. Step 5: Solve for x
    x = 847,536.86/1,021.17
  6. Step 6: Final answer
    x = 829.97

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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.