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Finding the Fourth Proportional to 1,288.47, 1,778.06 and 698.99

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Solution

The fourth proportional to 1,288.47, 1,778.06 and 698.99 is: 964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.47 : 1,778.06 = 698.99 : x
  2. Step 2: Convert to fraction form
    1,288.47/1,778.06 = 698.99/x
  3. Step 3: Cross multiply
    1,288.47x = 1,778.06 × 698.99
  4. Step 4: Simplify right side
    1,288.47x = 1,242,833.77
  5. Step 5: Solve for x
    x = 1,242,833.77/1,288.47
  6. Step 6: Final answer
    x = 964.58

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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.