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Finding the Fourth Proportional to 1,578.23, 2,366.94 and 654.05

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Solution

The fourth proportional to 1,578.23, 2,366.94 and 654.05 is: 980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.23 : 2,366.94 = 654.05 : x
  2. Step 2: Convert to fraction form
    1,578.23/2,366.94 = 654.05/x
  3. Step 3: Cross multiply
    1,578.23x = 2,366.94 × 654.05
  4. Step 4: Simplify right side
    1,578.23x = 1,548,097.11
  5. Step 5: Solve for x
    x = 1,548,097.11/1,578.23
  6. Step 6: Final answer
    x = 980.91

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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.