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Finding the Fourth Proportional to 855.68, 1,180.90 and 482.68

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Solution

The fourth proportional to 855.68, 1,180.90 and 482.68 is: 666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.68 : 1,180.90 = 482.68 : x
  2. Step 2: Convert to fraction form
    855.68/1,180.90 = 482.68/x
  3. Step 3: Cross multiply
    855.68x = 1,180.90 × 482.68
  4. Step 4: Simplify right side
    855.68x = 569,996.81
  5. Step 5: Solve for x
    x = 569,996.81/855.68
  6. Step 6: Final answer
    x = 666.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.