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Finding the Fourth Proportional to 975.83, 1,456.79 and 941.66

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Solution

The fourth proportional to 975.83, 1,456.79 and 941.66 is: 1,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.83 : 1,456.79 = 941.66 : x
  2. Step 2: Convert to fraction form
    975.83/1,456.79 = 941.66/x
  3. Step 3: Cross multiply
    975.83x = 1,456.79 × 941.66
  4. Step 4: Simplify right side
    975.83x = 1,371,788.88
  5. Step 5: Solve for x
    x = 1,371,788.88/975.83
  6. Step 6: Final answer
    x = 1,405.77

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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.