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Finding the Fourth Proportional to 816.01, 1,126.06 and 442.98

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Solution

The fourth proportional to 816.01, 1,126.06 and 442.98 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.01 : 1,126.06 = 442.98 : x
  2. Step 2: Convert to fraction form
    816.01/1,126.06 = 442.98/x
  3. Step 3: Cross multiply
    816.01x = 1,126.06 × 442.98
  4. Step 4: Simplify right side
    816.01x = 498,826.84
  5. Step 5: Solve for x
    x = 498,826.84/816.01
  6. Step 6: Final answer
    x = 611.30

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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.