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Finding the Fourth Proportional to 902.18, 1,245.00 and 509.21

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Solution

The fourth proportional to 902.18, 1,245.00 and 509.21 is: 702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.18 : 1,245.00 = 509.21 : x
  2. Step 2: Convert to fraction form
    902.18/1,245.00 = 509.21/x
  3. Step 3: Cross multiply
    902.18x = 1,245.00 × 509.21
  4. Step 4: Simplify right side
    902.18x = 633,962.98
  5. Step 5: Solve for x
    x = 633,962.98/902.18
  6. Step 6: Final answer
    x = 702.70

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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.