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Finding the Fourth Proportional to 1,759.31, 2,637.06 and 833.48

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Solution

The fourth proportional to 1,759.31, 2,637.06 and 833.48 is: 1,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.31 : 2,637.06 = 833.48 : x
  2. Step 2: Convert to fraction form
    1,759.31/2,637.06 = 833.48/x
  3. Step 3: Cross multiply
    1,759.31x = 2,637.06 × 833.48
  4. Step 4: Simplify right side
    1,759.31x = 2,197,936.77
  5. Step 5: Solve for x
    x = 2,197,936.77/1,759.31
  6. Step 6: Final answer
    x = 1,249.32

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1.5x scale

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.