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Finding the Fourth Proportional to 1,384.48, 1,910.75 and 795.00

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Solution

The fourth proportional to 1,384.48, 1,910.75 and 795.00 is: 1,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.48 : 1,910.75 = 795.00 : x
  2. Step 2: Convert to fraction form
    1,384.48/1,910.75 = 795.00/x
  3. Step 3: Cross multiply
    1,384.48x = 1,910.75 × 795.00
  4. Step 4: Simplify right side
    1,384.48x = 1,519,032.72
  5. Step 5: Solve for x
    x = 1,519,032.72/1,384.48
  6. Step 6: Final answer
    x = 1,097.19

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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.