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Finding the Fourth Proportional to 1,033.07, 1,548.59 and 416.75

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Solution

The fourth proportional to 1,033.07, 1,548.59 and 416.75 is: 624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.07 : 1,548.59 = 416.75 : x
  2. Step 2: Convert to fraction form
    1,033.07/1,548.59 = 416.75/x
  3. Step 3: Cross multiply
    1,033.07x = 1,548.59 × 416.75
  4. Step 4: Simplify right side
    1,033.07x = 645,365.06
  5. Step 5: Solve for x
    x = 645,365.06/1,033.07
  6. Step 6: Final answer
    x = 624.71

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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.