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Finding the Fourth Proportional to 850.10, 1,172.84 and 555.54

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Solution

The fourth proportional to 850.10, 1,172.84 and 555.54 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.10 : 1,172.84 = 555.54 : x
  2. Step 2: Convert to fraction form
    850.10/1,172.84 = 555.54/x
  3. Step 3: Cross multiply
    850.10x = 1,172.84 × 555.54
  4. Step 4: Simplify right side
    850.10x = 651,562.86
  5. Step 5: Solve for x
    x = 651,562.86/850.10
  6. Step 6: Final answer
    x = 766.45

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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.