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Finding the Fourth Proportional to 851.83, 1,175.46 and 478.87

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Solution

The fourth proportional to 851.83, 1,175.46 and 478.87 is: 660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.83 : 1,175.46 = 478.87 : x
  2. Step 2: Convert to fraction form
    851.83/1,175.46 = 478.87/x
  3. Step 3: Cross multiply
    851.83x = 1,175.46 × 478.87
  4. Step 4: Simplify right side
    851.83x = 562,892.53
  5. Step 5: Solve for x
    x = 562,892.53/851.83
  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.