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Finding the Fourth Proportional to 1,283.80, 1,771.72 and 724.06

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Solution

The fourth proportional to 1,283.80, 1,771.72 and 724.06 is: 999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.80 : 1,771.72 = 724.06 : x
  2. Step 2: Convert to fraction form
    1,283.80/1,771.72 = 724.06/x
  3. Step 3: Cross multiply
    1,283.80x = 1,771.72 × 724.06
  4. Step 4: Simplify right side
    1,283.80x = 1,282,825.34
  5. Step 5: Solve for x
    x = 1,282,825.34/1,283.80
  6. Step 6: Final answer
    x = 999.24

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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.