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Finding the Fourth Proportional to 1,233.15, 1,700.63 and 952.96

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Solution

The fourth proportional to 1,233.15, 1,700.63 and 952.96 is: 1,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.15 : 1,700.63 = 952.96 : x
  2. Step 2: Convert to fraction form
    1,233.15/1,700.63 = 952.96/x
  3. Step 3: Cross multiply
    1,233.15x = 1,700.63 × 952.96
  4. Step 4: Simplify right side
    1,233.15x = 1,620,623.86
  5. Step 5: Solve for x
    x = 1,620,623.86/1,233.15
  6. Step 6: Final answer
    x = 1,314.21

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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.