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Finding the Fourth Proportional to 975.73, 1,462.31 and 584.47

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Solution

The fourth proportional to 975.73, 1,462.31 and 584.47 is: 875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.73 : 1,462.31 = 584.47 : x
  2. Step 2: Convert to fraction form
    975.73/1,462.31 = 584.47/x
  3. Step 3: Cross multiply
    975.73x = 1,462.31 × 584.47
  4. Step 4: Simplify right side
    975.73x = 854,673.40
  5. Step 5: Solve for x
    x = 854,673.40/975.73
  6. Step 6: Final answer
    x = 875.93

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Why These Related Problems?

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