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Finding the Fourth Proportional to 1,069.40, 1,604.16 and 366.65

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Solution

The fourth proportional to 1,069.40, 1,604.16 and 366.65 is: 549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.40 : 1,604.16 = 366.65 : x
  2. Step 2: Convert to fraction form
    1,069.40/1,604.16 = 366.65/x
  3. Step 3: Cross multiply
    1,069.40x = 1,604.16 × 366.65
  4. Step 4: Simplify right side
    1,069.40x = 588,157.24
  5. Step 5: Solve for x
    x = 588,157.24/1,069.40
  6. Step 6: Final answer
    x = 549.99

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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.