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Finding the Fourth Proportional to 816.58, 1,126.74 and 462.46

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Solution

The fourth proportional to 816.58, 1,126.74 and 462.46 is: 638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.58 : 1,126.74 = 462.46 : x
  2. Step 2: Convert to fraction form
    816.58/1,126.74 = 462.46/x
  3. Step 3: Cross multiply
    816.58x = 1,126.74 × 462.46
  4. Step 4: Simplify right side
    816.58x = 521,072.18
  5. Step 5: Solve for x
    x = 521,072.18/816.58
  6. Step 6: Final answer
    x = 638.12

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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.