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Finding the Fourth Proportional to 1,288.02, 1,777.47 and 698.55

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Solution

The fourth proportional to 1,288.02, 1,777.47 and 698.55 is: 964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.02 : 1,777.47 = 698.55 : x
  2. Step 2: Convert to fraction form
    1,288.02/1,777.47 = 698.55/x
  3. Step 3: Cross multiply
    1,288.02x = 1,777.47 × 698.55
  4. Step 4: Simplify right side
    1,288.02x = 1,241,651.67
  5. Step 5: Solve for x
    x = 1,241,651.67/1,288.02
  6. Step 6: Final answer
    x = 964.00

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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.