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Finding the Fourth Proportional to 855.73, 1,180.89 and 524.17

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Solution

The fourth proportional to 855.73, 1,180.89 and 524.17 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.73 : 1,180.89 = 524.17 : x
  2. Step 2: Convert to fraction form
    855.73/1,180.89 = 524.17/x
  3. Step 3: Cross multiply
    855.73x = 1,180.89 × 524.17
  4. Step 4: Simplify right side
    855.73x = 618,987.11
  5. Step 5: Solve for x
    x = 618,987.11/855.73
  6. Step 6: Final answer
    x = 723.34

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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.