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Finding the Fourth Proportional to 1,699.34, 2,549.25 and 529.43

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Solution

The fourth proportional to 1,699.34, 2,549.25 and 529.43 is: 794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.34 : 2,549.25 = 529.43 : x
  2. Step 2: Convert to fraction form
    1,699.34/2,549.25 = 529.43/x
  3. Step 3: Cross multiply
    1,699.34x = 2,549.25 × 529.43
  4. Step 4: Simplify right side
    1,699.34x = 1,349,644.26
  5. Step 5: Solve for x
    x = 1,349,644.26/1,699.34
  6. Step 6: Final answer
    x = 794.22

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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.