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Finding the Fourth Proportional to 1,046.88, 1,570.41 and 277.38

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Solution

The fourth proportional to 1,046.88, 1,570.41 and 277.38 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.88 : 1,570.41 = 277.38 : x
  2. Step 2: Convert to fraction form
    1,046.88/1,570.41 = 277.38/x
  3. Step 3: Cross multiply
    1,046.88x = 1,570.41 × 277.38
  4. Step 4: Simplify right side
    1,046.88x = 435,600.33
  5. Step 5: Solve for x
    x = 435,600.33/1,046.88
  6. Step 6: Final answer
    x = 416.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.