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Finding the Fourth Proportional to 1,538.88, 2,309.26 and 564.98

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Solution

The fourth proportional to 1,538.88, 2,309.26 and 564.98 is: 847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.88 : 2,309.26 = 564.98 : x
  2. Step 2: Convert to fraction form
    1,538.88/2,309.26 = 564.98/x
  3. Step 3: Cross multiply
    1,538.88x = 2,309.26 × 564.98
  4. Step 4: Simplify right side
    1,538.88x = 1,304,685.71
  5. Step 5: Solve for x
    x = 1,304,685.71/1,538.88
  6. Step 6: Final answer
    x = 847.82

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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.