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Finding the Fourth Proportional to 1,384.85, 1,911.06 and 795.35

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Solution

The fourth proportional to 1,384.85, 1,911.06 and 795.35 is: 1,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.85 : 1,911.06 = 795.35 : x
  2. Step 2: Convert to fraction form
    1,384.85/1,911.06 = 795.35/x
  3. Step 3: Cross multiply
    1,384.85x = 1,911.06 × 795.35
  4. Step 4: Simplify right side
    1,384.85x = 1,519,961.57
  5. Step 5: Solve for x
    x = 1,519,961.57/1,384.85
  6. Step 6: Final answer
    x = 1,097.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.