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Finding the Fourth Proportional to 941.40, 1,408.26 and 696.20

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Solution

The fourth proportional to 941.40, 1,408.26 and 696.20 is: 1,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,408.26 = 696.20 : x
  2. Step 2: Convert to fraction form
    941.40/1,408.26 = 696.20/x
  3. Step 3: Cross multiply
    941.40x = 1,408.26 × 696.20
  4. Step 4: Simplify right side
    941.40x = 980,430.61
  5. Step 5: Solve for x
    x = 980,430.61/941.40
  6. Step 6: Final answer
    x = 1,041.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.