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Finding the Fourth Proportional to 1,257.38, 1,884.47 and 564.02

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Solution

The fourth proportional to 1,257.38, 1,884.47 and 564.02 is: 845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.38 : 1,884.47 = 564.02 : x
  2. Step 2: Convert to fraction form
    1,257.38/1,884.47 = 564.02/x
  3. Step 3: Cross multiply
    1,257.38x = 1,884.47 × 564.02
  4. Step 4: Simplify right side
    1,257.38x = 1,062,874.06
  5. Step 5: Solve for x
    x = 1,062,874.06/1,257.38
  6. Step 6: Final answer
    x = 845.31

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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.