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Finding the Fourth Proportional to 1,297.75, 1,790.90 and 832

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Solution

The fourth proportional to 1,297.75, 1,790.90 and 832 is: 1,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.75 : 1,790.90 = 832 : x
  2. Step 2: Convert to fraction form
    1,297.75/1,790.90 = 832/x
  3. Step 3: Cross multiply
    1,297.75x = 1,790.90 × 832
  4. Step 4: Simplify right side
    1,297.75x = 1,490,024.64
  5. Step 5: Solve for x
    x = 1,490,024.64/1,297.75
  6. Step 6: Final answer
    x = 1,148.16

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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.