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Finding the Fourth Proportional to 1,482.12, 2,045.25 and 852.75

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Solution

The fourth proportional to 1,482.12, 2,045.25 and 852.75 is: 1,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.12 : 2,045.25 = 852.75 : x
  2. Step 2: Convert to fraction form
    1,482.12/2,045.25 = 852.75/x
  3. Step 3: Cross multiply
    1,482.12x = 2,045.25 × 852.75
  4. Step 4: Simplify right side
    1,482.12x = 1,744,086.94
  5. Step 5: Solve for x
    x = 1,744,086.94/1,482.12
  6. Step 6: Final answer
    x = 1,176.75

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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.