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Finding the Fourth Proportional to 1,458.08, 2,012.19 and 828.64

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Solution

The fourth proportional to 1,458.08, 2,012.19 and 828.64 is: 1,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.08 : 2,012.19 = 828.64 : x
  2. Step 2: Convert to fraction form
    1,458.08/2,012.19 = 828.64/x
  3. Step 3: Cross multiply
    1,458.08x = 2,012.19 × 828.64
  4. Step 4: Simplify right side
    1,458.08x = 1,667,369.21
  5. Step 5: Solve for x
    x = 1,667,369.21/1,458.08
  6. Step 6: Final answer
    x = 1,143.53

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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.