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Finding the Fourth Proportional to 1,283.06, 1,770.65 and 723.42

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Solution

The fourth proportional to 1,283.06, 1,770.65 and 723.42 is: 998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.06 : 1,770.65 = 723.42 : x
  2. Step 2: Convert to fraction form
    1,283.06/1,770.65 = 723.42/x
  3. Step 3: Cross multiply
    1,283.06x = 1,770.65 × 723.42
  4. Step 4: Simplify right side
    1,283.06x = 1,280,932.81
  5. Step 5: Solve for x
    x = 1,280,932.81/1,283.06
  6. Step 6: Final answer
    x = 998.34

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1.5x scale

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.