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Finding the Fourth Proportional to 941.67, 1,299.36 and 537.90

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Solution

The fourth proportional to 941.67, 1,299.36 and 537.90 is: 742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.67 : 1,299.36 = 537.90 : x
  2. Step 2: Convert to fraction form
    941.67/1,299.36 = 537.90/x
  3. Step 3: Cross multiply
    941.67x = 1,299.36 × 537.90
  4. Step 4: Simplify right side
    941.67x = 698,925.74
  5. Step 5: Solve for x
    x = 698,925.74/941.67
  6. Step 6: Final answer
    x = 742.22

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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.