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Finding the Fourth Proportional to 804.78, 1,110.15 and 525.06

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Solution

The fourth proportional to 804.78, 1,110.15 and 525.06 is: 724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.78 : 1,110.15 = 525.06 : x
  2. Step 2: Convert to fraction form
    804.78/1,110.15 = 525.06/x
  3. Step 3: Cross multiply
    804.78x = 1,110.15 × 525.06
  4. Step 4: Simplify right side
    804.78x = 582,895.36
  5. Step 5: Solve for x
    x = 582,895.36/804.78
  6. Step 6: Final answer
    x = 724.29

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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.