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Finding the Fourth Proportional to 838.96, 1,260.56 and 530.96

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Solution

The fourth proportional to 838.96, 1,260.56 and 530.96 is: 797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.96 : 1,260.56 = 530.96 : x
  2. Step 2: Convert to fraction form
    838.96/1,260.56 = 530.96/x
  3. Step 3: Cross multiply
    838.96x = 1,260.56 × 530.96
  4. Step 4: Simplify right side
    838.96x = 669,301.96
  5. Step 5: Solve for x
    x = 669,301.96/838.96
  6. Step 6: Final answer
    x = 797.78

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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.