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Finding the Fourth Proportional to 704.88, 973.38 and 529.92

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Solution

The fourth proportional to 704.88, 973.38 and 529.92 is: 731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.88 : 973.38 = 529.92 : x
  2. Step 2: Convert to fraction form
    704.88/973.38 = 529.92/x
  3. Step 3: Cross multiply
    704.88x = 973.38 × 529.92
  4. Step 4: Simplify right side
    704.88x = 515,813.53
  5. Step 5: Solve for x
    x = 515,813.53/704.88
  6. Step 6: Final answer
    x = 731.77

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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.