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Finding the Fourth Proportional to 1,539.13, 2,308.71 and 443.50

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Solution

The fourth proportional to 1,539.13, 2,308.71 and 443.50 is: 665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.13 : 2,308.71 = 443.50 : x
  2. Step 2: Convert to fraction form
    1,539.13/2,308.71 = 443.50/x
  3. Step 3: Cross multiply
    1,539.13x = 2,308.71 × 443.50
  4. Step 4: Simplify right side
    1,539.13x = 1,023,912.89
  5. Step 5: Solve for x
    x = 1,023,912.89/1,539.13
  6. Step 6: Final answer
    x = 665.25

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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.