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Finding the Fourth Proportional to 587.94, 876.08 and 523.32

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Solution

The fourth proportional to 587.94, 876.08 and 523.32 is: 779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.94 : 876.08 = 523.32 : x
  2. Step 2: Convert to fraction form
    587.94/876.08 = 523.32/x
  3. Step 3: Cross multiply
    587.94x = 876.08 × 523.32
  4. Step 4: Simplify right side
    587.94x = 458,467.57
  5. Step 5: Solve for x
    x = 458,467.57/587.94
  6. Step 6: Final answer
    x = 779.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.