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Finding the Fourth Proportional to 1,057.12, 1,454.40 and 963.84

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Solution

The fourth proportional to 1,057.12, 1,454.40 and 963.84 is: 1,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.12 : 1,454.40 = 963.84 : x
  2. Step 2: Convert to fraction form
    1,057.12/1,454.40 = 963.84/x
  3. Step 3: Cross multiply
    1,057.12x = 1,454.40 × 963.84
  4. Step 4: Simplify right side
    1,057.12x = 1,401,808.90
  5. Step 5: Solve for x
    x = 1,401,808.90/1,057.12
  6. Step 6: Final answer
    x = 1,326.06

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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.