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Finding the Fourth Proportional to 1,288.53, 1,778.18 and 699.07

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Solution

The fourth proportional to 1,288.53, 1,778.18 and 699.07 is: 964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.53 : 1,778.18 = 699.07 : x
  2. Step 2: Convert to fraction form
    1,288.53/1,778.18 = 699.07/x
  3. Step 3: Cross multiply
    1,288.53x = 1,778.18 × 699.07
  4. Step 4: Simplify right side
    1,288.53x = 1,243,071.02
  5. Step 5: Solve for x
    x = 1,243,071.02/1,288.53
  6. Step 6: Final answer
    x = 964.72

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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.