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Finding the Fourth Proportional to 941.37, 1,405.86 and 803.32

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Solution

The fourth proportional to 941.37, 1,405.86 and 803.32 is: 1,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.37 : 1,405.86 = 803.32 : x
  2. Step 2: Convert to fraction form
    941.37/1,405.86 = 803.32/x
  3. Step 3: Cross multiply
    941.37x = 1,405.86 × 803.32
  4. Step 4: Simplify right side
    941.37x = 1,129,348.93
  5. Step 5: Solve for x
    x = 1,129,348.93/941.37
  6. Step 6: Final answer
    x = 1,199.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.