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Finding the Fourth Proportional to 952.27, 1,314.15 and 598.30

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Solution

The fourth proportional to 952.27, 1,314.15 and 598.30 is: 825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.27 : 1,314.15 = 598.30 : x
  2. Step 2: Convert to fraction form
    952.27/1,314.15 = 598.30/x
  3. Step 3: Cross multiply
    952.27x = 1,314.15 × 598.30
  4. Step 4: Simplify right side
    952.27x = 786,255.95
  5. Step 5: Solve for x
    x = 786,255.95/952.27
  6. Step 6: Final answer
    x = 825.66

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1.5x scale

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.