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Finding the Fourth Proportional to 884.27, 1,216.24 and 709.23

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Solution

The fourth proportional to 884.27, 1,216.24 and 709.23 is: 975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.27 : 1,216.24 = 709.23 : x
  2. Step 2: Convert to fraction form
    884.27/1,216.24 = 709.23/x
  3. Step 3: Cross multiply
    884.27x = 1,216.24 × 709.23
  4. Step 4: Simplify right side
    884.27x = 862,590.35
  5. Step 5: Solve for x
    x = 862,590.35/884.27
  6. Step 6: Final answer
    x = 975.48

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Double scale
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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.