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Finding the Fourth Proportional to 1,286.17, 1,774.02 and 762.19

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Solution

The fourth proportional to 1,286.17, 1,774.02 and 762.19 is: 1,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.17 : 1,774.02 = 762.19 : x
  2. Step 2: Convert to fraction form
    1,286.17/1,774.02 = 762.19/x
  3. Step 3: Cross multiply
    1,286.17x = 1,774.02 × 762.19
  4. Step 4: Simplify right side
    1,286.17x = 1,352,140.30
  5. Step 5: Solve for x
    x = 1,352,140.30/1,286.17
  6. Step 6: Final answer
    x = 1,051.29

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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.