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Finding the Fourth Proportional to 1,182.04, 1,631.19 and 684.67

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Solution

The fourth proportional to 1,182.04, 1,631.19 and 684.67 is: 944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.04 : 1,631.19 = 684.67 : x
  2. Step 2: Convert to fraction form
    1,182.04/1,631.19 = 684.67/x
  3. Step 3: Cross multiply
    1,182.04x = 1,631.19 × 684.67
  4. Step 4: Simplify right side
    1,182.04x = 1,116,826.86
  5. Step 5: Solve for x
    x = 1,116,826.86/1,182.04
  6. Step 6: Final answer
    x = 944.83

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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.