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Finding the Fourth Proportional to 902, 1,245.48 and 706.52

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Solution

The fourth proportional to 902, 1,245.48 and 706.52 is: 975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    902 : 1,245.48 = 706.52 : x
  2. Step 2: Convert to fraction form
    902/1,245.48 = 706.52/x
  3. Step 3: Cross multiply
    902x = 1,245.48 × 706.52
  4. Step 4: Simplify right side
    902x = 879,956.53
  5. Step 5: Solve for x
    x = 879,956.53/902
  6. Step 6: Final answer
    x = 975.56

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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.