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Finding the Fourth Proportional to 952.20, 1,312.98 and 657.66

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Solution

The fourth proportional to 952.20, 1,312.98 and 657.66 is: 906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.20 : 1,312.98 = 657.66 : x
  2. Step 2: Convert to fraction form
    952.20/1,312.98 = 657.66/x
  3. Step 3: Cross multiply
    952.20x = 1,312.98 × 657.66
  4. Step 4: Simplify right side
    952.20x = 863,494.43
  5. Step 5: Solve for x
    x = 863,494.43/952.20
  6. Step 6: Final answer
    x = 906.84

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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.