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Finding the Fourth Proportional to 1,538.58, 2,308.54 and 564.96

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Solution

The fourth proportional to 1,538.58, 2,308.54 and 564.96 is: 847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.58 : 2,308.54 = 564.96 : x
  2. Step 2: Convert to fraction form
    1,538.58/2,308.54 = 564.96/x
  3. Step 3: Cross multiply
    1,538.58x = 2,308.54 × 564.96
  4. Step 4: Simplify right side
    1,538.58x = 1,304,232.76
  5. Step 5: Solve for x
    x = 1,304,232.76/1,538.58
  6. Step 6: Final answer
    x = 847.69

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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.