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Finding the Fourth Proportional to 776.10, 1,162.11 and 652.40

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Solution

The fourth proportional to 776.10, 1,162.11 and 652.40 is: 976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.10 : 1,162.11 = 652.40 : x
  2. Step 2: Convert to fraction form
    776.10/1,162.11 = 652.40/x
  3. Step 3: Cross multiply
    776.10x = 1,162.11 × 652.40
  4. Step 4: Simplify right side
    776.10x = 758,160.56
  5. Step 5: Solve for x
    x = 758,160.56/776.10
  6. Step 6: Final answer
    x = 976.89

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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.