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Finding the Fourth Proportional to 1,026.08, 1,538.88 and 661.04

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Solution

The fourth proportional to 1,026.08, 1,538.88 and 661.04 is: 991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.08 : 1,538.88 = 661.04 : x
  2. Step 2: Convert to fraction form
    1,026.08/1,538.88 = 661.04/x
  3. Step 3: Cross multiply
    1,026.08x = 1,538.88 × 661.04
  4. Step 4: Simplify right side
    1,026.08x = 1,017,261.24
  5. Step 5: Solve for x
    x = 1,017,261.24/1,026.08
  6. Step 6: Final answer
    x = 991.41

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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.