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Finding the Fourth Proportional to 1,297.97, 1,947.33 and 420.45

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Solution

The fourth proportional to 1,297.97, 1,947.33 and 420.45 is: 630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.97 : 1,947.33 = 420.45 : x
  2. Step 2: Convert to fraction form
    1,297.97/1,947.33 = 420.45/x
  3. Step 3: Cross multiply
    1,297.97x = 1,947.33 × 420.45
  4. Step 4: Simplify right side
    1,297.97x = 818,754.90
  5. Step 5: Solve for x
    x = 818,754.90/1,297.97
  6. Step 6: Final answer
    x = 630.80

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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.