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Finding the Fourth Proportional to 855.75, 1,181.03 and 524.40

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Solution

The fourth proportional to 855.75, 1,181.03 and 524.40 is: 723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,181.03 = 524.40 : x
  2. Step 2: Convert to fraction form
    855.75/1,181.03 = 524.40/x
  3. Step 3: Cross multiply
    855.75x = 1,181.03 × 524.40
  4. Step 4: Simplify right side
    855.75x = 619,332.13
  5. Step 5: Solve for x
    x = 619,332.13/855.75
  6. Step 6: Final answer
    x = 723.73

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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.