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Finding the Fourth Proportional to 804.50, 1,109.98 and 555.44

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Solution

The fourth proportional to 804.50, 1,109.98 and 555.44 is: 766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.50 : 1,109.98 = 555.44 : x
  2. Step 2: Convert to fraction form
    804.50/1,109.98 = 555.44/x
  3. Step 3: Cross multiply
    804.50x = 1,109.98 × 555.44
  4. Step 4: Simplify right side
    804.50x = 616,527.29
  5. Step 5: Solve for x
    x = 616,527.29/804.50
  6. Step 6: Final answer
    x = 766.35

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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.