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Finding the Fourth Proportional to 1,308.97, 1,806.33 and 719.47

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Solution

The fourth proportional to 1,308.97, 1,806.33 and 719.47 is: 992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.97 : 1,806.33 = 719.47 : x
  2. Step 2: Convert to fraction form
    1,308.97/1,806.33 = 719.47/x
  3. Step 3: Cross multiply
    1,308.97x = 1,806.33 × 719.47
  4. Step 4: Simplify right side
    1,308.97x = 1,299,600.25
  5. Step 5: Solve for x
    x = 1,299,600.25/1,308.97
  6. Step 6: Final answer
    x = 992.84

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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.