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Finding the Fourth Proportional to 1,376.96, 1,899.58 and 817.45

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Solution

The fourth proportional to 1,376.96, 1,899.58 and 817.45 is: 1,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.96 : 1,899.58 = 817.45 : x
  2. Step 2: Convert to fraction form
    1,376.96/1,899.58 = 817.45/x
  3. Step 3: Cross multiply
    1,376.96x = 1,899.58 × 817.45
  4. Step 4: Simplify right side
    1,376.96x = 1,552,811.67
  5. Step 5: Solve for x
    x = 1,552,811.67/1,376.96
  6. Step 6: Final answer
    x = 1,127.71

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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.