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Finding the Fourth Proportional to 1,538.57, 2,308.53 and 564.95

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Solution

The fourth proportional to 1,538.57, 2,308.53 and 564.95 is: 847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.57 : 2,308.53 = 564.95 : x
  2. Step 2: Convert to fraction form
    1,538.57/2,308.53 = 564.95/x
  3. Step 3: Cross multiply
    1,538.57x = 2,308.53 × 564.95
  4. Step 4: Simplify right side
    1,538.57x = 1,304,204.02
  5. Step 5: Solve for x
    x = 1,304,204.02/1,538.57
  6. Step 6: Final answer
    x = 847.67

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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.