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Finding the Fourth Proportional to 1,417.98, 1,956.80 and 796.98

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Solution

The fourth proportional to 1,417.98, 1,956.80 and 796.98 is: 1,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.98 : 1,956.80 = 796.98 : x
  2. Step 2: Convert to fraction form
    1,417.98/1,956.80 = 796.98/x
  3. Step 3: Cross multiply
    1,417.98x = 1,956.80 × 796.98
  4. Step 4: Simplify right side
    1,417.98x = 1,559,526.48
  5. Step 5: Solve for x
    x = 1,559,526.48/1,417.98
  6. Step 6: Final answer
    x = 1,099.82

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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.