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Finding the Fourth Proportional to 1,454.66, 2,180.86 and 723.67

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Solution

The fourth proportional to 1,454.66, 2,180.86 and 723.67 is: 1,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.66 : 2,180.86 = 723.67 : x
  2. Step 2: Convert to fraction form
    1,454.66/2,180.86 = 723.67/x
  3. Step 3: Cross multiply
    1,454.66x = 2,180.86 × 723.67
  4. Step 4: Simplify right side
    1,454.66x = 1,578,222.96
  5. Step 5: Solve for x
    x = 1,578,222.96/1,454.66
  6. Step 6: Final answer
    x = 1,084.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.