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Finding the Fourth Proportional to 1,271.78, 1,907.96 and 578.64

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Solution

The fourth proportional to 1,271.78, 1,907.96 and 578.64 is: 868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.78 : 1,907.96 = 578.64 : x
  2. Step 2: Convert to fraction form
    1,271.78/1,907.96 = 578.64/x
  3. Step 3: Cross multiply
    1,271.78x = 1,907.96 × 578.64
  4. Step 4: Simplify right side
    1,271.78x = 1,104,021.97
  5. Step 5: Solve for x
    x = 1,104,021.97/1,271.78
  6. Step 6: Final answer
    x = 868.09

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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.