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Finding the Fourth Proportional to 1,146.07, 1,725.32 and 1,027

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Solution

The fourth proportional to 1,146.07, 1,725.32 and 1,027 is: 1,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.07 : 1,725.32 = 1,027 : x
  2. Step 2: Convert to fraction form
    1,146.07/1,725.32 = 1,027/x
  3. Step 3: Cross multiply
    1,146.07x = 1,725.32 × 1,027
  4. Step 4: Simplify right side
    1,146.07x = 1,771,903.64
  5. Step 5: Solve for x
    x = 1,771,903.64/1,146.07
  6. Step 6: Final answer
    x = 1,546.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.