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Finding the Fourth Proportional to 1,423.32, 1,964.16 and 793.77

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Solution

The fourth proportional to 1,423.32, 1,964.16 and 793.77 is: 1,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.32 : 1,964.16 = 793.77 : x
  2. Step 2: Convert to fraction form
    1,423.32/1,964.16 = 793.77/x
  3. Step 3: Cross multiply
    1,423.32x = 1,964.16 × 793.77
  4. Step 4: Simplify right side
    1,423.32x = 1,559,091.28
  5. Step 5: Solve for x
    x = 1,559,091.28/1,423.32
  6. Step 6: Final answer
    x = 1,095.39

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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.