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Finding the Fourth Proportional to 855.16, 1,180.12 and 462.19

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Solution

The fourth proportional to 855.16, 1,180.12 and 462.19 is: 637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.16 : 1,180.12 = 462.19 : x
  2. Step 2: Convert to fraction form
    855.16/1,180.12 = 462.19/x
  3. Step 3: Cross multiply
    855.16x = 1,180.12 × 462.19
  4. Step 4: Simplify right side
    855.16x = 545,433.76
  5. Step 5: Solve for x
    x = 545,433.76/855.16
  6. Step 6: Final answer
    x = 637.81

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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.