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Finding the Fourth Proportional to 1,285.02, 1,772.13 and 989.77

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Solution

The fourth proportional to 1,285.02, 1,772.13 and 989.77 is: 1,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.02 : 1,772.13 = 989.77 : x
  2. Step 2: Convert to fraction form
    1,285.02/1,772.13 = 989.77/x
  3. Step 3: Cross multiply
    1,285.02x = 1,772.13 × 989.77
  4. Step 4: Simplify right side
    1,285.02x = 1,754,001.11
  5. Step 5: Solve for x
    x = 1,754,001.11/1,285.02
  6. Step 6: Final answer
    x = 1,364.96

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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.