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Finding the Fourth Proportional to 1,176.46, 1,763.15 and 482.32

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Solution

The fourth proportional to 1,176.46, 1,763.15 and 482.32 is: 722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.46 : 1,763.15 = 482.32 : x
  2. Step 2: Convert to fraction form
    1,176.46/1,763.15 = 482.32/x
  3. Step 3: Cross multiply
    1,176.46x = 1,763.15 × 482.32
  4. Step 4: Simplify right side
    1,176.46x = 850,398.93
  5. Step 5: Solve for x
    x = 850,398.93/1,176.46
  6. Step 6: Final answer
    x = 722.84

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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.