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Finding the Fourth Proportional to 1,308.74, 1,806.10 and 719.29

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Solution

The fourth proportional to 1,308.74, 1,806.10 and 719.29 is: 992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.74 : 1,806.10 = 719.29 : x
  2. Step 2: Convert to fraction form
    1,308.74/1,806.10 = 719.29/x
  3. Step 3: Cross multiply
    1,308.74x = 1,806.10 × 719.29
  4. Step 4: Simplify right side
    1,308.74x = 1,299,110.13
  5. Step 5: Solve for x
    x = 1,299,110.13/1,308.74
  6. Step 6: Final answer
    x = 992.65

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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.