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Finding the Fourth Proportional to 1,274.54, 1,758.41 and 832.28

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Solution

The fourth proportional to 1,274.54, 1,758.41 and 832.28 is: 1,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.54 : 1,758.41 = 832.28 : x
  2. Step 2: Convert to fraction form
    1,274.54/1,758.41 = 832.28/x
  3. Step 3: Cross multiply
    1,274.54x = 1,758.41 × 832.28
  4. Step 4: Simplify right side
    1,274.54x = 1,463,479.64
  5. Step 5: Solve for x
    x = 1,463,479.64/1,274.54
  6. Step 6: Final answer
    x = 1,148.25

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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.