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Finding the Fourth Proportional to 1,539, 2,308.55 and 384.75

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Solution

The fourth proportional to 1,539, 2,308.55 and 384.75 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539 : 2,308.55 = 384.75 : x
  2. Step 2: Convert to fraction form
    1,539/2,308.55 = 384.75/x
  3. Step 3: Cross multiply
    1,539x = 2,308.55 × 384.75
  4. Step 4: Simplify right side
    1,539x = 888,212.69
  5. Step 5: Solve for x
    x = 888,212.69/1,539
  6. Step 6: Final answer
    x = 577.14

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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.