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Finding the Fourth Proportional to 652.14, 899.67 and 521.34

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Solution

The fourth proportional to 652.14, 899.67 and 521.34 is: 719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 899.67 = 521.34 : x
  2. Step 2: Convert to fraction form
    652.14/899.67 = 521.34/x
  3. Step 3: Cross multiply
    652.14x = 899.67 × 521.34
  4. Step 4: Simplify right side
    652.14x = 469,033.96
  5. Step 5: Solve for x
    x = 469,033.96/652.14
  6. Step 6: Final answer
    x = 719.22

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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.