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Finding the Fourth Proportional to 776.12, 1,169.42 and 642.16

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Solution

The fourth proportional to 776.12, 1,169.42 and 642.16 is: 967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.12 : 1,169.42 = 642.16 : x
  2. Step 2: Convert to fraction form
    776.12/1,169.42 = 642.16/x
  3. Step 3: Cross multiply
    776.12x = 1,169.42 × 642.16
  4. Step 4: Simplify right side
    776.12x = 750,954.75
  5. Step 5: Solve for x
    x = 750,954.75/776.12
  6. Step 6: Final answer
    x = 967.58

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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.