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Finding the Fourth Proportional to 846.90, 1,168.83 and 830.70

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Solution

The fourth proportional to 846.90, 1,168.83 and 830.70 is: 1,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.90 : 1,168.83 = 830.70 : x
  2. Step 2: Convert to fraction form
    846.90/1,168.83 = 830.70/x
  3. Step 3: Cross multiply
    846.90x = 1,168.83 × 830.70
  4. Step 4: Simplify right side
    846.90x = 970,947.08
  5. Step 5: Solve for x
    x = 970,947.08/846.90
  6. Step 6: Final answer
    x = 1,146.47

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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.