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Finding the Fourth Proportional to 1,393.75, 2,090.95 and 406.59

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Solution

The fourth proportional to 1,393.75, 2,090.95 and 406.59 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.75 : 2,090.95 = 406.59 : x
  2. Step 2: Convert to fraction form
    1,393.75/2,090.95 = 406.59/x
  3. Step 3: Cross multiply
    1,393.75x = 2,090.95 × 406.59
  4. Step 4: Simplify right side
    1,393.75x = 850,162.26
  5. Step 5: Solve for x
    x = 850,162.26/1,393.75
  6. Step 6: Final answer
    x = 609.98

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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.