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Finding the Fourth Proportional to 1,286.12, 1,774.32 and 955.36

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Solution

The fourth proportional to 1,286.12, 1,774.32 and 955.36 is: 1,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.12 : 1,774.32 = 955.36 : x
  2. Step 2: Convert to fraction form
    1,286.12/1,774.32 = 955.36/x
  3. Step 3: Cross multiply
    1,286.12x = 1,774.32 × 955.36
  4. Step 4: Simplify right side
    1,286.12x = 1,695,114.36
  5. Step 5: Solve for x
    x = 1,695,114.36/1,286.12
  6. Step 6: Final answer
    x = 1,318.01

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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.