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Finding the Fourth Proportional to 1,384.98, 1,911.27 and 795.42

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Solution

The fourth proportional to 1,384.98, 1,911.27 and 795.42 is: 1,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.98 : 1,911.27 = 795.42 : x
  2. Step 2: Convert to fraction form
    1,384.98/1,911.27 = 795.42/x
  3. Step 3: Cross multiply
    1,384.98x = 1,911.27 × 795.42
  4. Step 4: Simplify right side
    1,384.98x = 1,520,262.38
  5. Step 5: Solve for x
    x = 1,520,262.38/1,384.98
  6. Step 6: Final answer
    x = 1,097.68

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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.