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Finding the Fourth Proportional to 652.89, 977.99 and 523.11

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Solution

The fourth proportional to 652.89, 977.99 and 523.11 is: 783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.89 : 977.99 = 523.11 : x
  2. Step 2: Convert to fraction form
    652.89/977.99 = 523.11/x
  3. Step 3: Cross multiply
    652.89x = 977.99 × 523.11
  4. Step 4: Simplify right side
    652.89x = 511,593.73
  5. Step 5: Solve for x
    x = 511,593.73/652.89
  6. Step 6: Final answer
    x = 783.58

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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.