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Finding the Fourth Proportional to 776.10, 1,164.76 and 684.98

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Solution

The fourth proportional to 776.10, 1,164.76 and 684.98 is: 1,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.10 : 1,164.76 = 684.98 : x
  2. Step 2: Convert to fraction form
    776.10/1,164.76 = 684.98/x
  3. Step 3: Cross multiply
    776.10x = 1,164.76 × 684.98
  4. Step 4: Simplify right side
    776.10x = 797,837.30
  5. Step 5: Solve for x
    x = 797,837.30/776.10
  6. Step 6: Final answer
    x = 1,028.01

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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.