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Finding the Fourth Proportional to 955.27, 1,316.47 and 766

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Solution

The fourth proportional to 955.27, 1,316.47 and 766 is: 1,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.27 : 1,316.47 = 766 : x
  2. Step 2: Convert to fraction form
    955.27/1,316.47 = 766/x
  3. Step 3: Cross multiply
    955.27x = 1,316.47 × 766
  4. Step 4: Simplify right side
    955.27x = 1,008,416.02
  5. Step 5: Solve for x
    x = 1,008,416.02/955.27
  6. Step 6: Final answer
    x = 1,055.63

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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.