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Finding the Fourth Proportional to 1,033.06, 1,549.21 and 416.60

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Solution

The fourth proportional to 1,033.06, 1,549.21 and 416.60 is: 624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.06 : 1,549.21 = 416.60 : x
  2. Step 2: Convert to fraction form
    1,033.06/1,549.21 = 416.60/x
  3. Step 3: Cross multiply
    1,033.06x = 1,549.21 × 416.60
  4. Step 4: Simplify right side
    1,033.06x = 645,400.89
  5. Step 5: Solve for x
    x = 645,400.89/1,033.06
  6. Step 6: Final answer
    x = 624.75

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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.