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Finding the Fourth Proportional to 1,423.00, 1,963.78 and 793.60

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Solution

The fourth proportional to 1,423.00, 1,963.78 and 793.60 is: 1,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.00 : 1,963.78 = 793.60 : x
  2. Step 2: Convert to fraction form
    1,423.00/1,963.78 = 793.60/x
  3. Step 3: Cross multiply
    1,423.00x = 1,963.78 × 793.60
  4. Step 4: Simplify right side
    1,423.00x = 1,558,448.91
  5. Step 5: Solve for x
    x = 1,558,448.91/1,423.00
  6. Step 6: Final answer
    x = 1,095.18

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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.