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Finding the Fourth Proportional to 1,114.83, 1,663.47 and 983.61

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Solution

The fourth proportional to 1,114.83, 1,663.47 and 983.61 is: 1,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.83 : 1,663.47 = 983.61 : x
  2. Step 2: Convert to fraction form
    1,114.83/1,663.47 = 983.61/x
  3. Step 3: Cross multiply
    1,114.83x = 1,663.47 × 983.61
  4. Step 4: Simplify right side
    1,114.83x = 1,636,205.73
  5. Step 5: Solve for x
    x = 1,636,205.73/1,114.83
  6. Step 6: Final answer
    x = 1,467.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.