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Finding the Fourth Proportional to 1,288.02, 1,777.23 and 894.90

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Solution

The fourth proportional to 1,288.02, 1,777.23 and 894.90 is: 1,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.02 : 1,777.23 = 894.90 : x
  2. Step 2: Convert to fraction form
    1,288.02/1,777.23 = 894.90/x
  3. Step 3: Cross multiply
    1,288.02x = 1,777.23 × 894.90
  4. Step 4: Simplify right side
    1,288.02x = 1,590,443.13
  5. Step 5: Solve for x
    x = 1,590,443.13/1,288.02
  6. Step 6: Final answer
    x = 1,234.80

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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.