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Finding the Fourth Proportional to 973.22, 1,462.03 and 563.36

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Solution

The fourth proportional to 973.22, 1,462.03 and 563.36 is: 846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.22 : 1,462.03 = 563.36 : x
  2. Step 2: Convert to fraction form
    973.22/1,462.03 = 563.36/x
  3. Step 3: Cross multiply
    973.22x = 1,462.03 × 563.36
  4. Step 4: Simplify right side
    973.22x = 823,640.50
  5. Step 5: Solve for x
    x = 823,640.50/973.22
  6. Step 6: Final answer
    x = 846.31

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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.