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Finding the Fourth Proportional to 973.96, 1,460.67 and 563.56

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Solution

The fourth proportional to 973.96, 1,460.67 and 563.56 is: 845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.96 : 1,460.67 = 563.56 : x
  2. Step 2: Convert to fraction form
    973.96/1,460.67 = 563.56/x
  3. Step 3: Cross multiply
    973.96x = 1,460.67 × 563.56
  4. Step 4: Simplify right side
    973.96x = 823,175.19
  5. Step 5: Solve for x
    x = 823,175.19/973.96
  6. Step 6: Final answer
    x = 845.18

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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.