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Finding the Fourth Proportional to 1,047.90, 1,571.82 and 278.40

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Solution

The fourth proportional to 1,047.90, 1,571.82 and 278.40 is: 417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.90 : 1,571.82 = 278.40 : x
  2. Step 2: Convert to fraction form
    1,047.90/1,571.82 = 278.40/x
  3. Step 3: Cross multiply
    1,047.90x = 1,571.82 × 278.40
  4. Step 4: Simplify right side
    1,047.90x = 437,594.69
  5. Step 5: Solve for x
    x = 437,594.69/1,047.90
  6. Step 6: Final answer
    x = 417.59

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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.