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Finding the Fourth Proportional to 902.32, 1,244.98 and 509.20

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Solution

The fourth proportional to 902.32, 1,244.98 and 509.20 is: 702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.32 : 1,244.98 = 509.20 : x
  2. Step 2: Convert to fraction form
    902.32/1,244.98 = 509.20/x
  3. Step 3: Cross multiply
    902.32x = 1,244.98 × 509.20
  4. Step 4: Simplify right side
    902.32x = 633,943.82
  5. Step 5: Solve for x
    x = 633,943.82/902.32
  6. Step 6: Final answer
    x = 702.57

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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.