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Finding the Fourth Proportional to 1,328.07, 1,992.24 and 678.45

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Solution

The fourth proportional to 1,328.07, 1,992.24 and 678.45 is: 1,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.07 : 1,992.24 = 678.45 : x
  2. Step 2: Convert to fraction form
    1,328.07/1,992.24 = 678.45/x
  3. Step 3: Cross multiply
    1,328.07x = 1,992.24 × 678.45
  4. Step 4: Simplify right side
    1,328.07x = 1,351,635.23
  5. Step 5: Solve for x
    x = 1,351,635.23/1,328.07
  6. Step 6: Final answer
    x = 1,017.74

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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.