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Finding the Fourth Proportional to 704.43, 973.62 and 529.47

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Solution

The fourth proportional to 704.43, 973.62 and 529.47 is: 731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.43 : 973.62 = 529.47 : x
  2. Step 2: Convert to fraction form
    704.43/973.62 = 529.47/x
  3. Step 3: Cross multiply
    704.43x = 973.62 × 529.47
  4. Step 4: Simplify right side
    704.43x = 515,502.58
  5. Step 5: Solve for x
    x = 515,502.58/704.43
  6. Step 6: Final answer
    x = 731.80

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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.