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Finding the Fourth Proportional to 652.31, 973.80 and 629.52

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Solution

The fourth proportional to 652.31, 973.80 and 629.52 is: 939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.31 : 973.80 = 629.52 : x
  2. Step 2: Convert to fraction form
    652.31/973.80 = 629.52/x
  3. Step 3: Cross multiply
    652.31x = 973.80 × 629.52
  4. Step 4: Simplify right side
    652.31x = 613,026.58
  5. Step 5: Solve for x
    x = 613,026.58/652.31
  6. Step 6: Final answer
    x = 939.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.