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Finding the Fourth Proportional to 851.08, 1,174.33 and 478.01

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Solution

The fourth proportional to 851.08, 1,174.33 and 478.01 is: 659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.08 : 1,174.33 = 478.01 : x
  2. Step 2: Convert to fraction form
    851.08/1,174.33 = 478.01/x
  3. Step 3: Cross multiply
    851.08x = 1,174.33 × 478.01
  4. Step 4: Simplify right side
    851.08x = 561,341.48
  5. Step 5: Solve for x
    x = 561,341.48/851.08
  6. Step 6: Final answer
    x = 659.56

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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.