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Finding the Fourth Proportional to 1,308.48, 1,805.82 and 719.14

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Solution

The fourth proportional to 1,308.48, 1,805.82 and 719.14 is: 992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.48 : 1,805.82 = 719.14 : x
  2. Step 2: Convert to fraction form
    1,308.48/1,805.82 = 719.14/x
  3. Step 3: Cross multiply
    1,308.48x = 1,805.82 × 719.14
  4. Step 4: Simplify right side
    1,308.48x = 1,298,637.39
  5. Step 5: Solve for x
    x = 1,298,637.39/1,308.48
  6. Step 6: Final answer
    x = 992.48

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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.