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Finding the Fourth Proportional to 811.99, 1,216.94 and 465.51

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Solution

The fourth proportional to 811.99, 1,216.94 and 465.51 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.99 : 1,216.94 = 465.51 : x
  2. Step 2: Convert to fraction form
    811.99/1,216.94 = 465.51/x
  3. Step 3: Cross multiply
    811.99x = 1,216.94 × 465.51
  4. Step 4: Simplify right side
    811.99x = 566,495.75
  5. Step 5: Solve for x
    x = 566,495.75/811.99
  6. Step 6: Final answer
    x = 697.67

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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.