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Finding the Fourth Proportional to 790.56, 1,087.90 and 729

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Solution

The fourth proportional to 790.56, 1,087.90 and 729 is: 1,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.56 : 1,087.90 = 729 : x
  2. Step 2: Convert to fraction form
    790.56/1,087.90 = 729/x
  3. Step 3: Cross multiply
    790.56x = 1,087.90 × 729
  4. Step 4: Simplify right side
    790.56x = 793,077.28
  5. Step 5: Solve for x
    x = 793,077.28/790.56
  6. Step 6: Final answer
    x = 1,003.18

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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.