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Finding the Fourth Proportional to 1,309.41, 1,805.62 and 977.31

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Solution

The fourth proportional to 1,309.41, 1,805.62 and 977.31 is: 1,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.41 : 1,805.62 = 977.31 : x
  2. Step 2: Convert to fraction form
    1,309.41/1,805.62 = 977.31/x
  3. Step 3: Cross multiply
    1,309.41x = 1,805.62 × 977.31
  4. Step 4: Simplify right side
    1,309.41x = 1,764,650.48
  5. Step 5: Solve for x
    x = 1,764,650.48/1,309.41
  6. Step 6: Final answer
    x = 1,347.67

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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.