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Finding the Fourth Proportional to 749.73, 1,033.95 and 541.29

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Solution

The fourth proportional to 749.73, 1,033.95 and 541.29 is: 746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.73 : 1,033.95 = 541.29 : x
  2. Step 2: Convert to fraction form
    749.73/1,033.95 = 541.29/x
  3. Step 3: Cross multiply
    749.73x = 1,033.95 × 541.29
  4. Step 4: Simplify right side
    749.73x = 559,666.80
  5. Step 5: Solve for x
    x = 559,666.80/749.73
  6. Step 6: Final answer
    x = 746.49

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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.