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Finding the Fourth Proportional to 1,423.25, 1,964.23 and 793.88

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Solution

The fourth proportional to 1,423.25, 1,964.23 and 793.88 is: 1,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.25 : 1,964.23 = 793.88 : x
  2. Step 2: Convert to fraction form
    1,423.25/1,964.23 = 793.88/x
  3. Step 3: Cross multiply
    1,423.25x = 1,964.23 × 793.88
  4. Step 4: Simplify right side
    1,423.25x = 1,559,362.91
  5. Step 5: Solve for x
    x = 1,559,362.91/1,423.25
  6. Step 6: Final answer
    x = 1,095.64

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1.5x scale

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.