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Finding the Fourth Proportional to 1,336.55, 2,005.13 and 412.08

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Solution

The fourth proportional to 1,336.55, 2,005.13 and 412.08 is: 618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.55 : 2,005.13 = 412.08 : x
  2. Step 2: Convert to fraction form
    1,336.55/2,005.13 = 412.08/x
  3. Step 3: Cross multiply
    1,336.55x = 2,005.13 × 412.08
  4. Step 4: Simplify right side
    1,336.55x = 826,271.91
  5. Step 5: Solve for x
    x = 826,271.91/1,336.55
  6. Step 6: Final answer
    x = 618.21

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