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Finding the Fourth Proportional to 816, 1,126.16 and 466.76

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Solution

The fourth proportional to 816, 1,126.16 and 466.76 is: 644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,126.16 = 466.76 : x
  2. Step 2: Convert to fraction form
    816/1,126.16 = 466.76/x
  3. Step 3: Cross multiply
    816x = 1,126.16 × 466.76
  4. Step 4: Simplify right side
    816x = 525,638.48
  5. Step 5: Solve for x
    x = 525,638.48/816
  6. Step 6: Final answer
    x = 644.16

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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.