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Finding the Fourth Proportional to 1,043.88, 1,566.03 and 313.44

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Solution

The fourth proportional to 1,043.88, 1,566.03 and 313.44 is: 470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.88 : 1,566.03 = 313.44 : x
  2. Step 2: Convert to fraction form
    1,043.88/1,566.03 = 313.44/x
  3. Step 3: Cross multiply
    1,043.88x = 1,566.03 × 313.44
  4. Step 4: Simplify right side
    1,043.88x = 490,856.44
  5. Step 5: Solve for x
    x = 490,856.44/1,043.88
  6. Step 6: Final answer
    x = 470.22

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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.