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Finding the Fourth Proportional to 1,423.40, 1,964.29 and 793.93

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Solution

The fourth proportional to 1,423.40, 1,964.29 and 793.93 is: 1,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.40 : 1,964.29 = 793.93 : x
  2. Step 2: Convert to fraction form
    1,423.40/1,964.29 = 793.93/x
  3. Step 3: Cross multiply
    1,423.40x = 1,964.29 × 793.93
  4. Step 4: Simplify right side
    1,423.40x = 1,559,508.76
  5. Step 5: Solve for x
    x = 1,559,508.76/1,423.40
  6. Step 6: Final answer
    x = 1,095.62

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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.