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Finding the Fourth Proportional to 804.61, 1,111.90 and 581.28

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Solution

The fourth proportional to 804.61, 1,111.90 and 581.28 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.61 : 1,111.90 = 581.28 : x
  2. Step 2: Convert to fraction form
    804.61/1,111.90 = 581.28/x
  3. Step 3: Cross multiply
    804.61x = 1,111.90 × 581.28
  4. Step 4: Simplify right side
    804.61x = 646,325.23
  5. Step 5: Solve for x
    x = 646,325.23/804.61
  6. Step 6: Final answer
    x = 803.28

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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.