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Finding the Fourth Proportional to 776.99, 1,162.76 and 557.87

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Solution

The fourth proportional to 776.99, 1,162.76 and 557.87 is: 834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.99 : 1,162.76 = 557.87 : x
  2. Step 2: Convert to fraction form
    776.99/1,162.76 = 557.87/x
  3. Step 3: Cross multiply
    776.99x = 1,162.76 × 557.87
  4. Step 4: Simplify right side
    776.99x = 648,660.32
  5. Step 5: Solve for x
    x = 648,660.32/776.99
  6. Step 6: Final answer
    x = 834.84

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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.