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Finding the Fourth Proportional to 652.26, 899.73 and 521.94

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Solution

The fourth proportional to 652.26, 899.73 and 521.94 is: 719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.26 : 899.73 = 521.94 : x
  2. Step 2: Convert to fraction form
    652.26/899.73 = 521.94/x
  3. Step 3: Cross multiply
    652.26x = 899.73 × 521.94
  4. Step 4: Simplify right side
    652.26x = 469,605.08
  5. Step 5: Solve for x
    x = 469,605.08/652.26
  6. Step 6: Final answer
    x = 719.97

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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.