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Finding the Fourth Proportional to 975.47, 1,462.28 and 427.97

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Solution

The fourth proportional to 975.47, 1,462.28 and 427.97 is: 641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.47 : 1,462.28 = 427.97 : x
  2. Step 2: Convert to fraction form
    975.47/1,462.28 = 427.97/x
  3. Step 3: Cross multiply
    975.47x = 1,462.28 × 427.97
  4. Step 4: Simplify right side
    975.47x = 625,802.52
  5. Step 5: Solve for x
    x = 625,802.52/975.47
  6. Step 6: Final answer
    x = 641.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.