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Finding the Fourth Proportional to 1,094.46, 1,634.93 and 984.60

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Solution

The fourth proportional to 1,094.46, 1,634.93 and 984.60 is: 1,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.46 : 1,634.93 = 984.60 : x
  2. Step 2: Convert to fraction form
    1,094.46/1,634.93 = 984.60/x
  3. Step 3: Cross multiply
    1,094.46x = 1,634.93 × 984.60
  4. Step 4: Simplify right side
    1,094.46x = 1,609,743.90
  5. Step 5: Solve for x
    x = 1,609,743.90/1,094.46
  6. Step 6: Final answer
    x = 1,470.82

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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.