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Finding the Fourth Proportional to 1,337.28, 2,006.04 and 412.84

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Solution

The fourth proportional to 1,337.28, 2,006.04 and 412.84 is: 619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.28 : 2,006.04 = 412.84 : x
  2. Step 2: Convert to fraction form
    1,337.28/2,006.04 = 412.84/x
  3. Step 3: Cross multiply
    1,337.28x = 2,006.04 × 412.84
  4. Step 4: Simplify right side
    1,337.28x = 828,173.55
  5. Step 5: Solve for x
    x = 828,173.55/1,337.28
  6. Step 6: Final answer
    x = 619.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.