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Finding the Fourth Proportional to 884.86, 1,220.89 and 530.81

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Solution

The fourth proportional to 884.86, 1,220.89 and 530.81 is: 732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.86 : 1,220.89 = 530.81 : x
  2. Step 2: Convert to fraction form
    884.86/1,220.89 = 530.81/x
  3. Step 3: Cross multiply
    884.86x = 1,220.89 × 530.81
  4. Step 4: Simplify right side
    884.86x = 648,060.74
  5. Step 5: Solve for x
    x = 648,060.74/884.86
  6. Step 6: Final answer
    x = 732.39

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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.