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Finding the Fourth Proportional to 1,288.14, 1,777.63 and 698.68

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Solution

The fourth proportional to 1,288.14, 1,777.63 and 698.68 is: 964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.14 : 1,777.63 = 698.68 : x
  2. Step 2: Convert to fraction form
    1,288.14/1,777.63 = 698.68/x
  3. Step 3: Cross multiply
    1,288.14x = 1,777.63 × 698.68
  4. Step 4: Simplify right side
    1,288.14x = 1,241,994.53
  5. Step 5: Solve for x
    x = 1,241,994.53/1,288.14
  6. Step 6: Final answer
    x = 964.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.