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Finding the Fourth Proportional to 1,538.52, 2,306.25 and 564.36

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Solution

The fourth proportional to 1,538.52, 2,306.25 and 564.36 is: 845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.52 : 2,306.25 = 564.36 : x
  2. Step 2: Convert to fraction form
    1,538.52/2,306.25 = 564.36/x
  3. Step 3: Cross multiply
    1,538.52x = 2,306.25 × 564.36
  4. Step 4: Simplify right side
    1,538.52x = 1,301,555.25
  5. Step 5: Solve for x
    x = 1,301,555.25/1,538.52
  6. Step 6: Final answer
    x = 845.98

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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.