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Finding the Fourth Proportional to 804.12, 1,109.61 and 509.28

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Solution

The fourth proportional to 804.12, 1,109.61 and 509.28 is: 702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.12 : 1,109.61 = 509.28 : x
  2. Step 2: Convert to fraction form
    804.12/1,109.61 = 509.28/x
  3. Step 3: Cross multiply
    804.12x = 1,109.61 × 509.28
  4. Step 4: Simplify right side
    804.12x = 565,102.18
  5. Step 5: Solve for x
    x = 565,102.18/804.12
  6. Step 6: Final answer
    x = 702.76

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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.