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Finding the Fourth Proportional to 850, 1,173.48 and 642.64

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Solution

The fourth proportional to 850, 1,173.48 and 642.64 is: 887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    850 : 1,173.48 = 642.64 : x
  2. Step 2: Convert to fraction form
    850/1,173.48 = 642.64/x
  3. Step 3: Cross multiply
    850x = 1,173.48 × 642.64
  4. Step 4: Simplify right side
    850x = 754,125.19
  5. Step 5: Solve for x
    x = 754,125.19/850
  6. Step 6: Final answer
    x = 887.21

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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.