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Finding the Fourth Proportional to 902.74, 1,245.84 and 509.77

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Solution

The fourth proportional to 902.74, 1,245.84 and 509.77 is: 703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.74 : 1,245.84 = 509.77 : x
  2. Step 2: Convert to fraction form
    902.74/1,245.84 = 509.77/x
  3. Step 3: Cross multiply
    902.74x = 1,245.84 × 509.77
  4. Step 4: Simplify right side
    902.74x = 635,091.86
  5. Step 5: Solve for x
    x = 635,091.86/902.74
  6. Step 6: Final answer
    x = 703.52

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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.