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Finding the Fourth Proportional to 884.68, 1,220.74 and 530.53

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Solution

The fourth proportional to 884.68, 1,220.74 and 530.53 is: 732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.68 : 1,220.74 = 530.53 : x
  2. Step 2: Convert to fraction form
    884.68/1,220.74 = 530.53/x
  3. Step 3: Cross multiply
    884.68x = 1,220.74 × 530.53
  4. Step 4: Simplify right side
    884.68x = 647,634.81
  5. Step 5: Solve for x
    x = 647,634.81/884.68
  6. Step 6: Final answer
    x = 732.06

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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.