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Finding the Fourth Proportional to 855.57, 1,180.68 and 462.59

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Solution

The fourth proportional to 855.57, 1,180.68 and 462.59 is: 638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.57 : 1,180.68 = 462.59 : x
  2. Step 2: Convert to fraction form
    855.57/1,180.68 = 462.59/x
  3. Step 3: Cross multiply
    855.57x = 1,180.68 × 462.59
  4. Step 4: Simplify right side
    855.57x = 546,170.76
  5. Step 5: Solve for x
    x = 546,170.76/855.57
  6. Step 6: Final answer
    x = 638.37

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1.5x scale

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.