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Finding the Fourth Proportional to 855.53, 1,180.63 and 462.55

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Solution

The fourth proportional to 855.53, 1,180.63 and 462.55 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.53 : 1,180.63 = 462.55 : x
  2. Step 2: Convert to fraction form
    855.53/1,180.63 = 462.55/x
  3. Step 3: Cross multiply
    855.53x = 1,180.63 × 462.55
  4. Step 4: Simplify right side
    855.53x = 546,103.94
  5. Step 5: Solve for x
    x = 546,103.94/855.53
  6. Step 6: Final answer
    x = 638.32

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Double scale
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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.