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Finding the Fourth Proportional to 1,226.56, 1,840.56 and 457.12

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Solution

The fourth proportional to 1,226.56, 1,840.56 and 457.12 is: 685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.56 : 1,840.56 = 457.12 : x
  2. Step 2: Convert to fraction form
    1,226.56/1,840.56 = 457.12/x
  3. Step 3: Cross multiply
    1,226.56x = 1,840.56 × 457.12
  4. Step 4: Simplify right side
    1,226.56x = 841,356.79
  5. Step 5: Solve for x
    x = 841,356.79/1,226.56
  6. Step 6: Final answer
    x = 685.95

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