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Finding the Fourth Proportional to 732.51, 1,012.15 and 576.39

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Solution

The fourth proportional to 732.51, 1,012.15 and 576.39 is: 796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.51 : 1,012.15 = 576.39 : x
  2. Step 2: Convert to fraction form
    732.51/1,012.15 = 576.39/x
  3. Step 3: Cross multiply
    732.51x = 1,012.15 × 576.39
  4. Step 4: Simplify right side
    732.51x = 583,390.06
  5. Step 5: Solve for x
    x = 583,390.06/732.51
  6. Step 6: Final answer
    x = 796.42

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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.