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Finding the Fourth Proportional to 832.10, 1,147.94 and 500.33

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Solution

The fourth proportional to 832.10, 1,147.94 and 500.33 is: 690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.10 : 1,147.94 = 500.33 : x
  2. Step 2: Convert to fraction form
    832.10/1,147.94 = 500.33/x
  3. Step 3: Cross multiply
    832.10x = 1,147.94 × 500.33
  4. Step 4: Simplify right side
    832.10x = 574,340.58
  5. Step 5: Solve for x
    x = 574,340.58/832.10
  6. Step 6: Final answer
    x = 690.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.