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Finding the Fourth Proportional to 1,048.82, 1,573.24 and 471.56

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Solution

The fourth proportional to 1,048.82, 1,573.24 and 471.56 is: 707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.82 : 1,573.24 = 471.56 : x
  2. Step 2: Convert to fraction form
    1,048.82/1,573.24 = 471.56/x
  3. Step 3: Cross multiply
    1,048.82x = 1,573.24 × 471.56
  4. Step 4: Simplify right side
    1,048.82x = 741,877.05
  5. Step 5: Solve for x
    x = 741,877.05/1,048.82
  6. Step 6: Final answer
    x = 707.34

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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.