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Finding the Fourth Proportional to 1,409.94, 1,946.03 and 850.50

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Solution

The fourth proportional to 1,409.94, 1,946.03 and 850.50 is: 1,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.94 : 1,946.03 = 850.50 : x
  2. Step 2: Convert to fraction form
    1,409.94/1,946.03 = 850.50/x
  3. Step 3: Cross multiply
    1,409.94x = 1,946.03 × 850.50
  4. Step 4: Simplify right side
    1,409.94x = 1,655,094.26
  5. Step 5: Solve for x
    x = 1,655,094.26/1,409.94
  6. Step 6: Final answer
    x = 1,173.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.