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Finding the Fourth Proportional to 704.99, 971.76 and 555.38

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Solution

The fourth proportional to 704.99, 971.76 and 555.38 is: 765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.99 : 971.76 = 555.38 : x
  2. Step 2: Convert to fraction form
    704.99/971.76 = 555.38/x
  3. Step 3: Cross multiply
    704.99x = 971.76 × 555.38
  4. Step 4: Simplify right side
    704.99x = 539,696.94
  5. Step 5: Solve for x
    x = 539,696.94/704.99
  6. Step 6: Final answer
    x = 765.54

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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.