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Finding the Fourth Proportional to 902.19, 1,244.58 and 528.93

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Solution

The fourth proportional to 902.19, 1,244.58 and 528.93 is: 729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.19 : 1,244.58 = 528.93 : x
  2. Step 2: Convert to fraction form
    902.19/1,244.58 = 528.93/x
  3. Step 3: Cross multiply
    902.19x = 1,244.58 × 528.93
  4. Step 4: Simplify right side
    902.19x = 658,295.70
  5. Step 5: Solve for x
    x = 658,295.70/902.19
  6. Step 6: Final answer
    x = 729.66

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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.