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Finding the Fourth Proportional to 1,224.44, 1,836.24 and 530.66

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Solution

The fourth proportional to 1,224.44, 1,836.24 and 530.66 is: 795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.44 : 1,836.24 = 530.66 : x
  2. Step 2: Convert to fraction form
    1,224.44/1,836.24 = 530.66/x
  3. Step 3: Cross multiply
    1,224.44x = 1,836.24 × 530.66
  4. Step 4: Simplify right side
    1,224.44x = 974,419.12
  5. Step 5: Solve for x
    x = 974,419.12/1,224.44
  6. Step 6: Final answer
    x = 795.81

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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.