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Finding the Fourth Proportional to 921.09, 1,270.96 and 548.08

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Solution

The fourth proportional to 921.09, 1,270.96 and 548.08 is: 756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.09 : 1,270.96 = 548.08 : x
  2. Step 2: Convert to fraction form
    921.09/1,270.96 = 548.08/x
  3. Step 3: Cross multiply
    921.09x = 1,270.96 × 548.08
  4. Step 4: Simplify right side
    921.09x = 696,587.76
  5. Step 5: Solve for x
    x = 696,587.76/921.09
  6. Step 6: Final answer
    x = 756.26

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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.