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Finding the Fourth Proportional to 1,314.84, 1,969.43 and 620.46

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Solution

The fourth proportional to 1,314.84, 1,969.43 and 620.46 is: 929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.84 : 1,969.43 = 620.46 : x
  2. Step 2: Convert to fraction form
    1,314.84/1,969.43 = 620.46/x
  3. Step 3: Cross multiply
    1,314.84x = 1,969.43 × 620.46
  4. Step 4: Simplify right side
    1,314.84x = 1,221,949.44
  5. Step 5: Solve for x
    x = 1,221,949.44/1,314.84
  6. Step 6: Final answer
    x = 929.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.