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Finding the Fourth Proportional to 1,423.85, 1,964.93 and 834.23

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Solution

The fourth proportional to 1,423.85, 1,964.93 and 834.23 is: 1,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.85 : 1,964.93 = 834.23 : x
  2. Step 2: Convert to fraction form
    1,423.85/1,964.93 = 834.23/x
  3. Step 3: Cross multiply
    1,423.85x = 1,964.93 × 834.23
  4. Step 4: Simplify right side
    1,423.85x = 1,639,204.30
  5. Step 5: Solve for x
    x = 1,639,204.30/1,423.85
  6. Step 6: Final answer
    x = 1,151.25

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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.