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Finding the Fourth Proportional to 1,297.88, 1,947.42 and 649.04

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Solution

The fourth proportional to 1,297.88, 1,947.42 and 649.04 is: 973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.88 : 1,947.42 = 649.04 : x
  2. Step 2: Convert to fraction form
    1,297.88/1,947.42 = 649.04/x
  3. Step 3: Cross multiply
    1,297.88x = 1,947.42 × 649.04
  4. Step 4: Simplify right side
    1,297.88x = 1,263,953.48
  5. Step 5: Solve for x
    x = 1,263,953.48/1,297.88
  6. Step 6: Final answer
    x = 973.86

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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.