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Finding the Fourth Proportional to 905.84, 1,250.40 and 782

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Solution

The fourth proportional to 905.84, 1,250.40 and 782 is: 1,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,250.40 = 782 : x
  2. Step 2: Convert to fraction form
    905.84/1,250.40 = 782/x
  3. Step 3: Cross multiply
    905.84x = 1,250.40 × 782
  4. Step 4: Simplify right side
    905.84x = 977,812.80
  5. Step 5: Solve for x
    x = 977,812.80/905.84
  6. Step 6: Final answer
    x = 1,079.45

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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.