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Finding the Fourth Proportional to 769.93, 1,062.51 and 420.64

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Solution

The fourth proportional to 769.93, 1,062.51 and 420.64 is: 580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.93 : 1,062.51 = 420.64 : x
  2. Step 2: Convert to fraction form
    769.93/1,062.51 = 420.64/x
  3. Step 3: Cross multiply
    769.93x = 1,062.51 × 420.64
  4. Step 4: Simplify right side
    769.93x = 446,934.21
  5. Step 5: Solve for x
    x = 446,934.21/769.93
  6. Step 6: Final answer
    x = 580.49

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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.