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Finding the Fourth Proportional to 1,309.16, 1,806.58 and 719.75

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Solution

The fourth proportional to 1,309.16, 1,806.58 and 719.75 is: 993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.16 : 1,806.58 = 719.75 : x
  2. Step 2: Convert to fraction form
    1,309.16/1,806.58 = 719.75/x
  3. Step 3: Cross multiply
    1,309.16x = 1,806.58 × 719.75
  4. Step 4: Simplify right side
    1,309.16x = 1,300,291.37
  5. Step 5: Solve for x
    x = 1,300,291.37/1,309.16
  6. Step 6: Final answer
    x = 993.22

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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.