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Finding the Fourth Proportional to 1,308.71, 1,806.06 and 719.29

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Solution

The fourth proportional to 1,308.71, 1,806.06 and 719.29 is: 992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.71 : 1,806.06 = 719.29 : x
  2. Step 2: Convert to fraction form
    1,308.71/1,806.06 = 719.29/x
  3. Step 3: Cross multiply
    1,308.71x = 1,806.06 × 719.29
  4. Step 4: Simplify right side
    1,308.71x = 1,299,080.90
  5. Step 5: Solve for x
    x = 1,299,080.90/1,308.71
  6. Step 6: Final answer
    x = 992.64

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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.