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Finding the Fourth Proportional to 1,074.96, 1,482.57 and 725.58

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Solution

The fourth proportional to 1,074.96, 1,482.57 and 725.58 is: 1,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.96 : 1,482.57 = 725.58 : x
  2. Step 2: Convert to fraction form
    1,074.96/1,482.57 = 725.58/x
  3. Step 3: Cross multiply
    1,074.96x = 1,482.57 × 725.58
  4. Step 4: Simplify right side
    1,074.96x = 1,075,723.14
  5. Step 5: Solve for x
    x = 1,075,723.14/1,074.96
  6. Step 6: Final answer
    x = 1,000.71

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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.