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Finding the Fourth Proportional to 900.65, 1,351.15 and 380.65

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Solution

The fourth proportional to 900.65, 1,351.15 and 380.65 is: 571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.65 : 1,351.15 = 380.65 : x
  2. Step 2: Convert to fraction form
    900.65/1,351.15 = 380.65/x
  3. Step 3: Cross multiply
    900.65x = 1,351.15 × 380.65
  4. Step 4: Simplify right side
    900.65x = 514,310.92
  5. Step 5: Solve for x
    x = 514,310.92/900.65
  6. Step 6: Final answer
    x = 571.05

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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.