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Finding the Fourth Proportional to 1,486.94, 2,230.60 and 756.12

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Solution

The fourth proportional to 1,486.94, 2,230.60 and 756.12 is: 1,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.94 : 2,230.60 = 756.12 : x
  2. Step 2: Convert to fraction form
    1,486.94/2,230.60 = 756.12/x
  3. Step 3: Cross multiply
    1,486.94x = 2,230.60 × 756.12
  4. Step 4: Simplify right side
    1,486.94x = 1,686,601.27
  5. Step 5: Solve for x
    x = 1,686,601.27/1,486.94
  6. Step 6: Final answer
    x = 1,134.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.