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Finding the Fourth Proportional to 642.62, 969.26 and 566.53

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Solution

The fourth proportional to 642.62, 969.26 and 566.53 is: 854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.62 : 969.26 = 566.53 : x
  2. Step 2: Convert to fraction form
    642.62/969.26 = 566.53/x
  3. Step 3: Cross multiply
    642.62x = 969.26 × 566.53
  4. Step 4: Simplify right side
    642.62x = 549,114.87
  5. Step 5: Solve for x
    x = 549,114.87/642.62
  6. Step 6: Final answer
    x = 854.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.