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Finding the Fourth Proportional to 1,199.61, 1,797.81 and 888.93

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Solution

The fourth proportional to 1,199.61, 1,797.81 and 888.93 is: 1,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.61 : 1,797.81 = 888.93 : x
  2. Step 2: Convert to fraction form
    1,199.61/1,797.81 = 888.93/x
  3. Step 3: Cross multiply
    1,199.61x = 1,797.81 × 888.93
  4. Step 4: Simplify right side
    1,199.61x = 1,598,127.24
  5. Step 5: Solve for x
    x = 1,598,127.24/1,199.61
  6. Step 6: Final answer
    x = 1,332.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.