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Finding the Fourth Proportional to 654.44, 976.60 and 585.24

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Solution

The fourth proportional to 654.44, 976.60 and 585.24 is: 873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 976.60 = 585.24 : x
  2. Step 2: Convert to fraction form
    654.44/976.60 = 585.24/x
  3. Step 3: Cross multiply
    654.44x = 976.60 × 585.24
  4. Step 4: Simplify right side
    654.44x = 571,545.38
  5. Step 5: Solve for x
    x = 571,545.38/654.44
  6. Step 6: Final answer
    x = 873.34

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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.