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Finding the Fourth Proportional to 855.56, 1,180.70 and 524.16

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Solution

The fourth proportional to 855.56, 1,180.70 and 524.16 is: 723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.56 : 1,180.70 = 524.16 : x
  2. Step 2: Convert to fraction form
    855.56/1,180.70 = 524.16/x
  3. Step 3: Cross multiply
    855.56x = 1,180.70 × 524.16
  4. Step 4: Simplify right side
    855.56x = 618,873.09
  5. Step 5: Solve for x
    x = 618,873.09/855.56
  6. Step 6: Final answer
    x = 723.36

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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.