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Finding the Fourth Proportional to 1,458, 2,012.04 and 828.54

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Solution

The fourth proportional to 1,458, 2,012.04 and 828.54 is: 1,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458 : 2,012.04 = 828.54 : x
  2. Step 2: Convert to fraction form
    1,458/2,012.04 = 828.54/x
  3. Step 3: Cross multiply
    1,458x = 2,012.04 × 828.54
  4. Step 4: Simplify right side
    1,458x = 1,667,055.62
  5. Step 5: Solve for x
    x = 1,667,055.62/1,458
  6. Step 6: Final answer
    x = 1,143.39

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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.