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Finding the Fourth Proportional to 851.43, 1,174.99 and 473.33

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Solution

The fourth proportional to 851.43, 1,174.99 and 473.33 is: 653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.43 : 1,174.99 = 473.33 : x
  2. Step 2: Convert to fraction form
    851.43/1,174.99 = 473.33/x
  3. Step 3: Cross multiply
    851.43x = 1,174.99 × 473.33
  4. Step 4: Simplify right side
    851.43x = 556,158.02
  5. Step 5: Solve for x
    x = 556,158.02/851.43
  6. Step 6: Final answer
    x = 653.20

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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.