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Finding the Fourth Proportional to 1,308.50, 1,805.76 and 719.07

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Solution

The fourth proportional to 1,308.50, 1,805.76 and 719.07 is: 992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.50 : 1,805.76 = 719.07 : x
  2. Step 2: Convert to fraction form
    1,308.50/1,805.76 = 719.07/x
  3. Step 3: Cross multiply
    1,308.50x = 1,805.76 × 719.07
  4. Step 4: Simplify right side
    1,308.50x = 1,298,467.84
  5. Step 5: Solve for x
    x = 1,298,467.84/1,308.50
  6. Step 6: Final answer
    x = 992.34

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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.