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Finding the Fourth Proportional to 851.66, 1,175.42 and 478.79

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Solution

The fourth proportional to 851.66, 1,175.42 and 478.79 is: 660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.66 : 1,175.42 = 478.79 : x
  2. Step 2: Convert to fraction form
    851.66/1,175.42 = 478.79/x
  3. Step 3: Cross multiply
    851.66x = 1,175.42 × 478.79
  4. Step 4: Simplify right side
    851.66x = 562,779.34
  5. Step 5: Solve for x
    x = 562,779.34/851.66
  6. Step 6: Final answer
    x = 660.80

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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.