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Finding the Fourth Proportional to 1,423.30, 1,964.23 and 833.88

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Solution

The fourth proportional to 1,423.30, 1,964.23 and 833.88 is: 1,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.30 : 1,964.23 = 833.88 : x
  2. Step 2: Convert to fraction form
    1,423.30/1,964.23 = 833.88/x
  3. Step 3: Cross multiply
    1,423.30x = 1,964.23 × 833.88
  4. Step 4: Simplify right side
    1,423.30x = 1,637,932.11
  5. Step 5: Solve for x
    x = 1,637,932.11/1,423.30
  6. Step 6: Final answer
    x = 1,150.80

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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.