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Finding the Fourth Proportional to 1,254, 1,881.36 and 484.72

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Solution

The fourth proportional to 1,254, 1,881.36 and 484.72 is: 727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254 : 1,881.36 = 484.72 : x
  2. Step 2: Convert to fraction form
    1,254/1,881.36 = 484.72/x
  3. Step 3: Cross multiply
    1,254x = 1,881.36 × 484.72
  4. Step 4: Simplify right side
    1,254x = 911,932.82
  5. Step 5: Solve for x
    x = 911,932.82/1,254
  6. Step 6: Final answer
    x = 727.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.