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Finding the Fourth Proportional to 1,388.52, 2,083.96 and 609.15

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Solution

The fourth proportional to 1,388.52, 2,083.96 and 609.15 is: 914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.52 : 2,083.96 = 609.15 : x
  2. Step 2: Convert to fraction form
    1,388.52/2,083.96 = 609.15/x
  3. Step 3: Cross multiply
    1,388.52x = 2,083.96 × 609.15
  4. Step 4: Simplify right side
    1,388.52x = 1,269,444.23
  5. Step 5: Solve for x
    x = 1,269,444.23/1,388.52
  6. Step 6: Final answer
    x = 914.24

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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.