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Finding the Fourth Proportional to 1,033.74, 1,549.67 and 485.46

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Solution

The fourth proportional to 1,033.74, 1,549.67 and 485.46 is: 727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.74 : 1,549.67 = 485.46 : x
  2. Step 2: Convert to fraction form
    1,033.74/1,549.67 = 485.46/x
  3. Step 3: Cross multiply
    1,033.74x = 1,549.67 × 485.46
  4. Step 4: Simplify right side
    1,033.74x = 752,300.37
  5. Step 5: Solve for x
    x = 752,300.37/1,033.74
  6. Step 6: Final answer
    x = 727.75

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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.