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Finding the Fourth Proportional to 1,074.10, 1,611.15 and 992.10

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Solution

The fourth proportional to 1,074.10, 1,611.15 and 992.10 is: 1,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.10 : 1,611.15 = 992.10 : x
  2. Step 2: Convert to fraction form
    1,074.10/1,611.15 = 992.10/x
  3. Step 3: Cross multiply
    1,074.10x = 1,611.15 × 992.10
  4. Step 4: Simplify right side
    1,074.10x = 1,598,421.92
  5. Step 5: Solve for x
    x = 1,598,421.92/1,074.10
  6. Step 6: Final answer
    x = 1,488.15

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Similar ratio
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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.