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Finding the Fourth Proportional to 865.26, 1,298.64 and 571.94

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Solution

The fourth proportional to 865.26, 1,298.64 and 571.94 is: 858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.26 : 1,298.64 = 571.94 : x
  2. Step 2: Convert to fraction form
    865.26/1,298.64 = 571.94/x
  3. Step 3: Cross multiply
    865.26x = 1,298.64 × 571.94
  4. Step 4: Simplify right side
    865.26x = 742,744.16
  5. Step 5: Solve for x
    x = 742,744.16/865.26
  6. Step 6: Final answer
    x = 858.41

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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.