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Finding the Fourth Proportional to 952.13, 1,314.54 and 730.66

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Solution

The fourth proportional to 952.13, 1,314.54 and 730.66 is: 1,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.13 : 1,314.54 = 730.66 : x
  2. Step 2: Convert to fraction form
    952.13/1,314.54 = 730.66/x
  3. Step 3: Cross multiply
    952.13x = 1,314.54 × 730.66
  4. Step 4: Simplify right side
    952.13x = 960,481.80
  5. Step 5: Solve for x
    x = 960,481.80/952.13
  6. Step 6: Final answer
    x = 1,008.77

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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.