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Finding the Fourth Proportional to 1,047.88, 1,571.82 and 278.38

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Solution

The fourth proportional to 1,047.88, 1,571.82 and 278.38 is: 417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.88 : 1,571.82 = 278.38 : x
  2. Step 2: Convert to fraction form
    1,047.88/1,571.82 = 278.38/x
  3. Step 3: Cross multiply
    1,047.88x = 1,571.82 × 278.38
  4. Step 4: Simplify right side
    1,047.88x = 437,554.00
  5. Step 5: Solve for x
    x = 437,554.00/1,047.88
  6. Step 6: Final answer
    x = 417.56

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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.