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Finding the Fourth Proportional to 824.67, 1,138.10 and 530.03

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Solution

The fourth proportional to 824.67, 1,138.10 and 530.03 is: 731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.67 : 1,138.10 = 530.03 : x
  2. Step 2: Convert to fraction form
    824.67/1,138.10 = 530.03/x
  3. Step 3: Cross multiply
    824.67x = 1,138.10 × 530.03
  4. Step 4: Simplify right side
    824.67x = 603,227.14
  5. Step 5: Solve for x
    x = 603,227.14/824.67
  6. Step 6: Final answer
    x = 731.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.