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Finding the Fourth Proportional to 1,176.81, 1,763.70 and 482.65

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Solution

The fourth proportional to 1,176.81, 1,763.70 and 482.65 is: 723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.81 : 1,763.70 = 482.65 : x
  2. Step 2: Convert to fraction form
    1,176.81/1,763.70 = 482.65/x
  3. Step 3: Cross multiply
    1,176.81x = 1,763.70 × 482.65
  4. Step 4: Simplify right side
    1,176.81x = 851,247.21
  5. Step 5: Solve for x
    x = 851,247.21/1,176.81
  6. Step 6: Final answer
    x = 723.35

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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.