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Finding the Fourth Proportional to 952.95, 1,316.36 and 767.16

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Solution

The fourth proportional to 952.95, 1,316.36 and 767.16 is: 1,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.95 : 1,316.36 = 767.16 : x
  2. Step 2: Convert to fraction form
    952.95/1,316.36 = 767.16/x
  3. Step 3: Cross multiply
    952.95x = 1,316.36 × 767.16
  4. Step 4: Simplify right side
    952.95x = 1,009,854.90
  5. Step 5: Solve for x
    x = 1,009,854.90/952.95
  6. Step 6: Final answer
    x = 1,059.71

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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.