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Finding the Fourth Proportional to 936.66, 1,405.22 and 389.10

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Solution

The fourth proportional to 936.66, 1,405.22 and 389.10 is: 583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.66 : 1,405.22 = 389.10 : x
  2. Step 2: Convert to fraction form
    936.66/1,405.22 = 389.10/x
  3. Step 3: Cross multiply
    936.66x = 1,405.22 × 389.10
  4. Step 4: Simplify right side
    936.66x = 546,771.10
  5. Step 5: Solve for x
    x = 546,771.10/936.66
  6. Step 6: Final answer
    x = 583.75

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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.