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Finding the Fourth Proportional to 1,059.88, 1,589 and 649.22

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Solution

The fourth proportional to 1,059.88, 1,589 and 649.22 is: 973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.88 : 1,589 = 649.22 : x
  2. Step 2: Convert to fraction form
    1,059.88/1,589 = 649.22/x
  3. Step 3: Cross multiply
    1,059.88x = 1,589 × 649.22
  4. Step 4: Simplify right side
    1,059.88x = 1,031,610.58
  5. Step 5: Solve for x
    x = 1,031,610.58/1,059.88
  6. Step 6: Final answer
    x = 973.33

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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.