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Finding the Fourth Proportional to 776.90, 1,165.52 and 401.78

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Solution

The fourth proportional to 776.90, 1,165.52 and 401.78 is: 602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.90 : 1,165.52 = 401.78 : x
  2. Step 2: Convert to fraction form
    776.90/1,165.52 = 401.78/x
  3. Step 3: Cross multiply
    776.90x = 1,165.52 × 401.78
  4. Step 4: Simplify right side
    776.90x = 468,276.64
  5. Step 5: Solve for x
    x = 468,276.64/776.90
  6. Step 6: Final answer
    x = 602.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.