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Finding the Fourth Proportional to 1,283.84, 1,771.60 and 724.36

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Solution

The fourth proportional to 1,283.84, 1,771.60 and 724.36 is: 999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.84 : 1,771.60 = 724.36 : x
  2. Step 2: Convert to fraction form
    1,283.84/1,771.60 = 724.36/x
  3. Step 3: Cross multiply
    1,283.84x = 1,771.60 × 724.36
  4. Step 4: Simplify right side
    1,283.84x = 1,283,271.86
  5. Step 5: Solve for x
    x = 1,283,271.86/1,283.84
  6. Step 6: Final answer
    x = 999.56

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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.