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Finding the Fourth Proportional to 1,288.75, 1,778.47 and 699.28

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Solution

The fourth proportional to 1,288.75, 1,778.47 and 699.28 is: 965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.75 : 1,778.47 = 699.28 : x
  2. Step 2: Convert to fraction form
    1,288.75/1,778.47 = 699.28/x
  3. Step 3: Cross multiply
    1,288.75x = 1,778.47 × 699.28
  4. Step 4: Simplify right side
    1,288.75x = 1,243,648.50
  5. Step 5: Solve for x
    x = 1,243,648.50/1,288.75
  6. Step 6: Final answer
    x = 965.00

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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.