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Finding the Fourth Proportional to 952.94, 1,314.56 and 657.70

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Solution

The fourth proportional to 952.94, 1,314.56 and 657.70 is: 907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.94 : 1,314.56 = 657.70 : x
  2. Step 2: Convert to fraction form
    952.94/1,314.56 = 657.70/x
  3. Step 3: Cross multiply
    952.94x = 1,314.56 × 657.70
  4. Step 4: Simplify right side
    952.94x = 864,586.11
  5. Step 5: Solve for x
    x = 864,586.11/952.94
  6. Step 6: Final answer
    x = 907.28

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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.