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Finding the Fourth Proportional to 816.70, 1,126.96 and 462.66

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Solution

The fourth proportional to 816.70, 1,126.96 and 462.66 is: 638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.70 : 1,126.96 = 462.66 : x
  2. Step 2: Convert to fraction form
    816.70/1,126.96 = 462.66/x
  3. Step 3: Cross multiply
    816.70x = 1,126.96 × 462.66
  4. Step 4: Simplify right side
    816.70x = 521,399.31
  5. Step 5: Solve for x
    x = 521,399.31/816.70
  6. Step 6: Final answer
    x = 638.42

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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.