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Finding the Fourth Proportional to 804.17, 1,109.87 and 509.46

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Solution

The fourth proportional to 804.17, 1,109.87 and 509.46 is: 703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.17 : 1,109.87 = 509.46 : x
  2. Step 2: Convert to fraction form
    804.17/1,109.87 = 509.46/x
  3. Step 3: Cross multiply
    804.17x = 1,109.87 × 509.46
  4. Step 4: Simplify right side
    804.17x = 565,431.82
  5. Step 5: Solve for x
    x = 565,431.82/804.17
  6. Step 6: Final answer
    x = 703.13

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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.