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Finding the Fourth Proportional to 1,336.91, 2,005.16 and 459.54

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Solution

The fourth proportional to 1,336.91, 2,005.16 and 459.54 is: 689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.91 : 2,005.16 = 459.54 : x
  2. Step 2: Convert to fraction form
    1,336.91/2,005.16 = 459.54/x
  3. Step 3: Cross multiply
    1,336.91x = 2,005.16 × 459.54
  4. Step 4: Simplify right side
    1,336.91x = 921,448.93
  5. Step 5: Solve for x
    x = 921,448.93/1,336.91
  6. Step 6: Final answer
    x = 689.24

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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.