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Finding the Fourth Proportional to 1,465.67, 2,198.51 and 439.67

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Solution

The fourth proportional to 1,465.67, 2,198.51 and 439.67 is: 659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.67 : 2,198.51 = 439.67 : x
  2. Step 2: Convert to fraction form
    1,465.67/2,198.51 = 439.67/x
  3. Step 3: Cross multiply
    1,465.67x = 2,198.51 × 439.67
  4. Step 4: Simplify right side
    1,465.67x = 966,618.89
  5. Step 5: Solve for x
    x = 966,618.89/1,465.67
  6. Step 6: Final answer
    x = 659.51

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Double scale
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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.