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Finding the Fourth Proportional to 1,339.47, 2,010.76 and 609.05

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Solution

The fourth proportional to 1,339.47, 2,010.76 and 609.05 is: 914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.47 : 2,010.76 = 609.05 : x
  2. Step 2: Convert to fraction form
    1,339.47/2,010.76 = 609.05/x
  3. Step 3: Cross multiply
    1,339.47x = 2,010.76 × 609.05
  4. Step 4: Simplify right side
    1,339.47x = 1,224,656.88
  5. Step 5: Solve for x
    x = 1,224,656.88/1,339.47
  6. Step 6: Final answer
    x = 914.28

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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.