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Finding the Fourth Proportional to 804.44, 1,110.34 and 509.88

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Solution

The fourth proportional to 804.44, 1,110.34 and 509.88 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.44 : 1,110.34 = 509.88 : x
  2. Step 2: Convert to fraction form
    804.44/1,110.34 = 509.88/x
  3. Step 3: Cross multiply
    804.44x = 1,110.34 × 509.88
  4. Step 4: Simplify right side
    804.44x = 566,140.16
  5. Step 5: Solve for x
    x = 566,140.16/804.44
  6. Step 6: Final answer
    x = 703.77

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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.