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Finding the Fourth Proportional to 1,309.83, 1,806.77 and 1,029.62

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Solution

The fourth proportional to 1,309.83, 1,806.77 and 1,029.62 is: 1,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.83 : 1,806.77 = 1,029.62 : x
  2. Step 2: Convert to fraction form
    1,309.83/1,806.77 = 1,029.62/x
  3. Step 3: Cross multiply
    1,309.83x = 1,806.77 × 1,029.62
  4. Step 4: Simplify right side
    1,309.83x = 1,860,286.53
  5. Step 5: Solve for x
    x = 1,860,286.53/1,309.83
  6. Step 6: Final answer
    x = 1,420.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.