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Finding the Fourth Proportional to 804.13, 1,109.09 and 555.86

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Solution

The fourth proportional to 804.13, 1,109.09 and 555.86 is: 766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.13 : 1,109.09 = 555.86 : x
  2. Step 2: Convert to fraction form
    804.13/1,109.09 = 555.86/x
  3. Step 3: Cross multiply
    804.13x = 1,109.09 × 555.86
  4. Step 4: Simplify right side
    804.13x = 616,495.99
  5. Step 5: Solve for x
    x = 616,495.99/804.13
  6. Step 6: Final answer
    x = 766.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.