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Finding the Fourth Proportional to 1,033.56, 1,549.32 and 485.40

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Solution

The fourth proportional to 1,033.56, 1,549.32 and 485.40 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.56 : 1,549.32 = 485.40 : x
  2. Step 2: Convert to fraction form
    1,033.56/1,549.32 = 485.40/x
  3. Step 3: Cross multiply
    1,033.56x = 1,549.32 × 485.40
  4. Step 4: Simplify right side
    1,033.56x = 752,039.93
  5. Step 5: Solve for x
    x = 752,039.93/1,033.56
  6. Step 6: Final answer
    x = 727.62

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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.