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Finding the Fourth Proportional to 583.54, 875.66 and 523.78

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Solution

The fourth proportional to 583.54, 875.66 and 523.78 is: 785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.54 : 875.66 = 523.78 : x
  2. Step 2: Convert to fraction form
    583.54/875.66 = 523.78/x
  3. Step 3: Cross multiply
    583.54x = 875.66 × 523.78
  4. Step 4: Simplify right side
    583.54x = 458,653.19
  5. Step 5: Solve for x
    x = 458,653.19/583.54
  6. Step 6: Final answer
    x = 785.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.