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Finding the Fourth Proportional to 1,309.34, 1,806.91 and 719.93

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Solution

The fourth proportional to 1,309.34, 1,806.91 and 719.93 is: 993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.34 : 1,806.91 = 719.93 : x
  2. Step 2: Convert to fraction form
    1,309.34/1,806.91 = 719.93/x
  3. Step 3: Cross multiply
    1,309.34x = 1,806.91 × 719.93
  4. Step 4: Simplify right side
    1,309.34x = 1,300,848.72
  5. Step 5: Solve for x
    x = 1,300,848.72/1,309.34
  6. Step 6: Final answer
    x = 993.51

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