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Finding the Fourth Proportional to 1,539.34, 2,308.78 and 499.43

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Solution

The fourth proportional to 1,539.34, 2,308.78 and 499.43 is: 749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.34 : 2,308.78 = 499.43 : x
  2. Step 2: Convert to fraction form
    1,539.34/2,308.78 = 499.43/x
  3. Step 3: Cross multiply
    1,539.34x = 2,308.78 × 499.43
  4. Step 4: Simplify right side
    1,539.34x = 1,153,078.52
  5. Step 5: Solve for x
    x = 1,153,078.52/1,539.34
  6. Step 6: Final answer
    x = 749.07

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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.