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Finding the Fourth Proportional to 816.32, 1,126.44 and 467

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Solution

The fourth proportional to 816.32, 1,126.44 and 467 is: 644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.32 : 1,126.44 = 467 : x
  2. Step 2: Convert to fraction form
    816.32/1,126.44 = 467/x
  3. Step 3: Cross multiply
    816.32x = 1,126.44 × 467
  4. Step 4: Simplify right side
    816.32x = 526,047.48
  5. Step 5: Solve for x
    x = 526,047.48/816.32
  6. Step 6: Final answer
    x = 644.41

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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.