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Finding the Fourth Proportional to 1,309.34, 1,806.87 and 719.87

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Solution

The fourth proportional to 1,309.34, 1,806.87 and 719.87 is: 993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.34 : 1,806.87 = 719.87 : x
  2. Step 2: Convert to fraction form
    1,309.34/1,806.87 = 719.87/x
  3. Step 3: Cross multiply
    1,309.34x = 1,806.87 × 719.87
  4. Step 4: Simplify right side
    1,309.34x = 1,300,702.47
  5. Step 5: Solve for x
    x = 1,300,702.47/1,309.34
  6. Step 6: Final answer
    x = 993.41

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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.