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Finding the Fourth Proportional to 1,027.98, 1,416.96 and 713.70

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Solution

The fourth proportional to 1,027.98, 1,416.96 and 713.70 is: 983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.98 : 1,416.96 = 713.70 : x
  2. Step 2: Convert to fraction form
    1,027.98/1,416.96 = 713.70/x
  3. Step 3: Cross multiply
    1,027.98x = 1,416.96 × 713.70
  4. Step 4: Simplify right side
    1,027.98x = 1,011,284.35
  5. Step 5: Solve for x
    x = 1,011,284.35/1,027.98
  6. Step 6: Final answer
    x = 983.76

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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.