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Finding the Fourth Proportional to 1,283.10, 1,770.62 and 723.68

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Solution

The fourth proportional to 1,283.10, 1,770.62 and 723.68 is: 998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.10 : 1,770.62 = 723.68 : x
  2. Step 2: Convert to fraction form
    1,283.10/1,770.62 = 723.68/x
  3. Step 3: Cross multiply
    1,283.10x = 1,770.62 × 723.68
  4. Step 4: Simplify right side
    1,283.10x = 1,281,362.28
  5. Step 5: Solve for x
    x = 1,281,362.28/1,283.10
  6. Step 6: Final answer
    x = 998.65

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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.