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Finding the Fourth Proportional to 1,308.42, 1,805.68 and 719

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Solution

The fourth proportional to 1,308.42, 1,805.68 and 719 is: 992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.42 : 1,805.68 = 719 : x
  2. Step 2: Convert to fraction form
    1,308.42/1,805.68 = 719/x
  3. Step 3: Cross multiply
    1,308.42x = 1,805.68 × 719
  4. Step 4: Simplify right side
    1,308.42x = 1,298,283.92
  5. Step 5: Solve for x
    x = 1,298,283.92/1,308.42
  6. Step 6: Final answer
    x = 992.25

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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.