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Finding the Fourth Proportional to 749.16, 1,033.83 and 438.66

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Solution

The fourth proportional to 749.16, 1,033.83 and 438.66 is: 605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.16 : 1,033.83 = 438.66 : x
  2. Step 2: Convert to fraction form
    749.16/1,033.83 = 438.66/x
  3. Step 3: Cross multiply
    749.16x = 1,033.83 × 438.66
  4. Step 4: Simplify right side
    749.16x = 453,499.87
  5. Step 5: Solve for x
    x = 453,499.87/749.16
  6. Step 6: Final answer
    x = 605.34

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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.