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Finding the Fourth Proportional to 1,415.25, 1,951.69 and 848.00

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Solution

The fourth proportional to 1,415.25, 1,951.69 and 848.00 is: 1,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.25 : 1,951.69 = 848.00 : x
  2. Step 2: Convert to fraction form
    1,415.25/1,951.69 = 848.00/x
  3. Step 3: Cross multiply
    1,415.25x = 1,951.69 × 848.00
  4. Step 4: Simplify right side
    1,415.25x = 1,655,025.94
  5. Step 5: Solve for x
    x = 1,655,025.94/1,415.25
  6. Step 6: Final answer
    x = 1,169.42

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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.