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Finding the Fourth Proportional to 1,176.73, 1,621.89 and 893.05

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Solution

The fourth proportional to 1,176.73, 1,621.89 and 893.05 is: 1,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.73 : 1,621.89 = 893.05 : x
  2. Step 2: Convert to fraction form
    1,176.73/1,621.89 = 893.05/x
  3. Step 3: Cross multiply
    1,176.73x = 1,621.89 × 893.05
  4. Step 4: Simplify right side
    1,176.73x = 1,448,428.86
  5. Step 5: Solve for x
    x = 1,448,428.86/1,176.73
  6. Step 6: Final answer
    x = 1,230.89

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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.