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Finding the Fourth Proportional to 1,333.08, 1,999.93 and 408.77

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Solution

The fourth proportional to 1,333.08, 1,999.93 and 408.77 is: 613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.08 : 1,999.93 = 408.77 : x
  2. Step 2: Convert to fraction form
    1,333.08/1,999.93 = 408.77/x
  3. Step 3: Cross multiply
    1,333.08x = 1,999.93 × 408.77
  4. Step 4: Simplify right side
    1,333.08x = 817,515.36
  5. Step 5: Solve for x
    x = 817,515.36/1,333.08
  6. Step 6: Final answer
    x = 613.25

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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.