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Finding the Fourth Proportional to 1,047.67, 1,571.55 and 354.41

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Solution

The fourth proportional to 1,047.67, 1,571.55 and 354.41 is: 531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.67 : 1,571.55 = 354.41 : x
  2. Step 2: Convert to fraction form
    1,047.67/1,571.55 = 354.41/x
  3. Step 3: Cross multiply
    1,047.67x = 1,571.55 × 354.41
  4. Step 4: Simplify right side
    1,047.67x = 556,973.04
  5. Step 5: Solve for x
    x = 556,973.04/1,047.67
  6. Step 6: Final answer
    x = 531.63

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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.