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Finding the Fourth Proportional to 675.72, 930.26 and 588.38

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Solution

The fourth proportional to 675.72, 930.26 and 588.38 is: 810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.72 : 930.26 = 588.38 : x
  2. Step 2: Convert to fraction form
    675.72/930.26 = 588.38/x
  3. Step 3: Cross multiply
    675.72x = 930.26 × 588.38
  4. Step 4: Simplify right side
    675.72x = 547,338.79
  5. Step 5: Solve for x
    x = 547,338.79/675.72
  6. Step 6: Final answer
    x = 810.01

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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.