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Finding the Fourth Proportional to 1,339.39, 2,008.68 and 473.50

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Solution

The fourth proportional to 1,339.39, 2,008.68 and 473.50 is: 710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.39 : 2,008.68 = 473.50 : x
  2. Step 2: Convert to fraction form
    1,339.39/2,008.68 = 473.50/x
  3. Step 3: Cross multiply
    1,339.39x = 2,008.68 × 473.50
  4. Step 4: Simplify right side
    1,339.39x = 951,109.98
  5. Step 5: Solve for x
    x = 951,109.98/1,339.39
  6. Step 6: Final answer
    x = 710.11

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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.