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Finding the Fourth Proportional to 584, 807.54 and 523.25

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Solution

The fourth proportional to 584, 807.54 and 523.25 is: 723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 807.54 = 523.25 : x
  2. Step 2: Convert to fraction form
    584/807.54 = 523.25/x
  3. Step 3: Cross multiply
    584x = 807.54 × 523.25
  4. Step 4: Simplify right side
    584x = 422,545.31
  5. Step 5: Solve for x
    x = 422,545.31/584
  6. Step 6: Final answer
    x = 723.54

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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.