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Finding the Fourth Proportional to 1,283.83, 1,771.67 and 724.30

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Solution

The fourth proportional to 1,283.83, 1,771.67 and 724.30 is: 999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.83 : 1,771.67 = 724.30 : x
  2. Step 2: Convert to fraction form
    1,283.83/1,771.67 = 724.30/x
  3. Step 3: Cross multiply
    1,283.83x = 1,771.67 × 724.30
  4. Step 4: Simplify right side
    1,283.83x = 1,283,216.96
  5. Step 5: Solve for x
    x = 1,283,216.96/1,283.83
  6. Step 6: Final answer
    x = 999.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.