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Finding the Fourth Proportional to 1,282.94, 1,770.62 and 723.58

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Solution

The fourth proportional to 1,282.94, 1,770.62 and 723.58 is: 998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.94 : 1,770.62 = 723.58 : x
  2. Step 2: Convert to fraction form
    1,282.94/1,770.62 = 723.58/x
  3. Step 3: Cross multiply
    1,282.94x = 1,770.62 × 723.58
  4. Step 4: Simplify right side
    1,282.94x = 1,281,191.46
  5. Step 5: Solve for x
    x = 1,281,191.46/1,282.94
  6. Step 6: Final answer
    x = 998.64

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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.