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Finding the Fourth Proportional to 884.14, 1,220.13 and 530.12

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Solution

The fourth proportional to 884.14, 1,220.13 and 530.12 is: 731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.14 : 1,220.13 = 530.12 : x
  2. Step 2: Convert to fraction form
    884.14/1,220.13 = 530.12/x
  3. Step 3: Cross multiply
    884.14x = 1,220.13 × 530.12
  4. Step 4: Simplify right side
    884.14x = 646,807.23
  5. Step 5: Solve for x
    x = 646,807.23/884.14
  6. Step 6: Final answer
    x = 731.57

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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.