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Finding the Fourth Proportional to 1,224.06, 1,836.45 and 530.43

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Solution

The fourth proportional to 1,224.06, 1,836.45 and 530.43 is: 795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.06 : 1,836.45 = 530.43 : x
  2. Step 2: Convert to fraction form
    1,224.06/1,836.45 = 530.43/x
  3. Step 3: Cross multiply
    1,224.06x = 1,836.45 × 530.43
  4. Step 4: Simplify right side
    1,224.06x = 974,108.17
  5. Step 5: Solve for x
    x = 974,108.17/1,224.06
  6. Step 6: Final answer
    x = 795.80

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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.