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Finding the Fourth Proportional to 1,458.21, 2,011.88 and 828.69

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Solution

The fourth proportional to 1,458.21, 2,011.88 and 828.69 is: 1,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.21 : 2,011.88 = 828.69 : x
  2. Step 2: Convert to fraction form
    1,458.21/2,011.88 = 828.69/x
  3. Step 3: Cross multiply
    1,458.21x = 2,011.88 × 828.69
  4. Step 4: Simplify right side
    1,458.21x = 1,667,224.84
  5. Step 5: Solve for x
    x = 1,667,224.84/1,458.21
  6. Step 6: Final answer
    x = 1,143.34

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1.5x scale

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.