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Finding the Fourth Proportional to 816.30, 1,126.26 and 466.92

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Solution

The fourth proportional to 816.30, 1,126.26 and 466.92 is: 644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.30 : 1,126.26 = 466.92 : x
  2. Step 2: Convert to fraction form
    816.30/1,126.26 = 466.92/x
  3. Step 3: Cross multiply
    816.30x = 1,126.26 × 466.92
  4. Step 4: Simplify right side
    816.30x = 525,873.32
  5. Step 5: Solve for x
    x = 525,873.32/816.30
  6. Step 6: Final answer
    x = 644.22

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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.