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Finding the Fourth Proportional to 851.57, 1,175.10 and 478.47

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Solution

The fourth proportional to 851.57, 1,175.10 and 478.47 is: 660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.57 : 1,175.10 = 478.47 : x
  2. Step 2: Convert to fraction form
    851.57/1,175.10 = 478.47/x
  3. Step 3: Cross multiply
    851.57x = 1,175.10 × 478.47
  4. Step 4: Simplify right side
    851.57x = 562,250.10
  5. Step 5: Solve for x
    x = 562,250.10/851.57
  6. Step 6: Final answer
    x = 660.26

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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.