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Finding the Fourth Proportional to 1,089.25, 1,502.35 and 941.63

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Solution

The fourth proportional to 1,089.25, 1,502.35 and 941.63 is: 1,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.25 : 1,502.35 = 941.63 : x
  2. Step 2: Convert to fraction form
    1,089.25/1,502.35 = 941.63/x
  3. Step 3: Cross multiply
    1,089.25x = 1,502.35 × 941.63
  4. Step 4: Simplify right side
    1,089.25x = 1,414,647.96
  5. Step 5: Solve for x
    x = 1,414,647.96/1,089.25
  6. Step 6: Final answer
    x = 1,298.74

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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.