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Finding the Fourth Proportional to 884.14, 1,220.12 and 530.08

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Solution

The fourth proportional to 884.14, 1,220.12 and 530.08 is: 731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.14 : 1,220.12 = 530.08 : x
  2. Step 2: Convert to fraction form
    884.14/1,220.12 = 530.08/x
  3. Step 3: Cross multiply
    884.14x = 1,220.12 × 530.08
  4. Step 4: Simplify right side
    884.14x = 646,761.21
  5. Step 5: Solve for x
    x = 646,761.21/884.14
  6. Step 6: Final answer
    x = 731.51

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Why These Related Problems?

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