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Finding the Fourth Proportional to 804.51, 1,109.95 and 509.73

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Solution

The fourth proportional to 804.51, 1,109.95 and 509.73 is: 703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.51 : 1,109.95 = 509.73 : x
  2. Step 2: Convert to fraction form
    804.51/1,109.95 = 509.73/x
  3. Step 3: Cross multiply
    804.51x = 1,109.95 × 509.73
  4. Step 4: Simplify right side
    804.51x = 565,772.26
  5. Step 5: Solve for x
    x = 565,772.26/804.51
  6. Step 6: Final answer
    x = 703.26

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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.