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Finding the Fourth Proportional to 804.02, 1,109.84 and 556.16

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Solution

The fourth proportional to 804.02, 1,109.84 and 556.16 is: 767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.02 : 1,109.84 = 556.16 : x
  2. Step 2: Convert to fraction form
    804.02/1,109.84 = 556.16/x
  3. Step 3: Cross multiply
    804.02x = 1,109.84 × 556.16
  4. Step 4: Simplify right side
    804.02x = 617,240.28
  5. Step 5: Solve for x
    x = 617,240.28/804.02
  6. Step 6: Final answer
    x = 767.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.