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Finding the Fourth Proportional to 1,227.98, 1,840.56 and 612.11

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Solution

The fourth proportional to 1,227.98, 1,840.56 and 612.11 is: 917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.98 : 1,840.56 = 612.11 : x
  2. Step 2: Convert to fraction form
    1,227.98/1,840.56 = 612.11/x
  3. Step 3: Cross multiply
    1,227.98x = 1,840.56 × 612.11
  4. Step 4: Simplify right side
    1,227.98x = 1,126,625.18
  5. Step 5: Solve for x
    x = 1,126,625.18/1,227.98
  6. Step 6: Final answer
    x = 917.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.