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Finding the Fourth Proportional to 975.80, 1,456.65 and 829.96

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Solution

The fourth proportional to 975.80, 1,456.65 and 829.96 is: 1,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.80 : 1,456.65 = 829.96 : x
  2. Step 2: Convert to fraction form
    975.80/1,456.65 = 829.96/x
  3. Step 3: Cross multiply
    975.80x = 1,456.65 × 829.96
  4. Step 4: Simplify right side
    975.80x = 1,208,961.23
  5. Step 5: Solve for x
    x = 1,208,961.23/975.80
  6. Step 6: Final answer
    x = 1,238.94

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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.