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Finding the Fourth Proportional to 1,016.53, 1,525.48 and 554.46

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Solution

The fourth proportional to 1,016.53, 1,525.48 and 554.46 is: 832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.53 : 1,525.48 = 554.46 : x
  2. Step 2: Convert to fraction form
    1,016.53/1,525.48 = 554.46/x
  3. Step 3: Cross multiply
    1,016.53x = 1,525.48 × 554.46
  4. Step 4: Simplify right side
    1,016.53x = 845,822.23
  5. Step 5: Solve for x
    x = 845,822.23/1,016.53
  6. Step 6: Final answer
    x = 832.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.