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Finding the Fourth Proportional to 902.32, 1,245.21 and 509.32

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Solution

The fourth proportional to 902.32, 1,245.21 and 509.32 is: 702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.32 : 1,245.21 = 509.32 : x
  2. Step 2: Convert to fraction form
    902.32/1,245.21 = 509.32/x
  3. Step 3: Cross multiply
    902.32x = 1,245.21 × 509.32
  4. Step 4: Simplify right side
    902.32x = 634,210.36
  5. Step 5: Solve for x
    x = 634,210.36/902.32
  6. Step 6: Final answer
    x = 702.87

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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.