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Finding the Fourth Proportional to 730.68, 1,008.37 and 704.53

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Solution

The fourth proportional to 730.68, 1,008.37 and 704.53 is: 972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.68 : 1,008.37 = 704.53 : x
  2. Step 2: Convert to fraction form
    730.68/1,008.37 = 704.53/x
  3. Step 3: Cross multiply
    730.68x = 1,008.37 × 704.53
  4. Step 4: Simplify right side
    730.68x = 710,426.92
  5. Step 5: Solve for x
    x = 710,426.92/730.68
  6. Step 6: Final answer
    x = 972.28

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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.