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Finding the Fourth Proportional to 1,544.67, 2,315.79 and 678.38

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Solution

The fourth proportional to 1,544.67, 2,315.79 and 678.38 is: 1,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.67 : 2,315.79 = 678.38 : x
  2. Step 2: Convert to fraction form
    1,544.67/2,315.79 = 678.38/x
  3. Step 3: Cross multiply
    1,544.67x = 2,315.79 × 678.38
  4. Step 4: Simplify right side
    1,544.67x = 1,570,974.04
  5. Step 5: Solve for x
    x = 1,570,974.04/1,544.67
  6. Step 6: Final answer
    x = 1,017.03

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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.