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Finding the Fourth Proportional to 1,048.56, 1,573.09 and 318.09

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Solution

The fourth proportional to 1,048.56, 1,573.09 and 318.09 is: 477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.56 : 1,573.09 = 318.09 : x
  2. Step 2: Convert to fraction form
    1,048.56/1,573.09 = 318.09/x
  3. Step 3: Cross multiply
    1,048.56x = 1,573.09 × 318.09
  4. Step 4: Simplify right side
    1,048.56x = 500,384.20
  5. Step 5: Solve for x
    x = 500,384.20/1,048.56
  6. Step 6: Final answer
    x = 477.21

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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.