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Finding the Fourth Proportional to 1,254.73, 1,881.79 and 524.31

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Solution

The fourth proportional to 1,254.73, 1,881.79 and 524.31 is: 786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.73 : 1,881.79 = 524.31 : x
  2. Step 2: Convert to fraction form
    1,254.73/1,881.79 = 524.31/x
  3. Step 3: Cross multiply
    1,254.73x = 1,881.79 × 524.31
  4. Step 4: Simplify right side
    1,254.73x = 986,641.31
  5. Step 5: Solve for x
    x = 986,641.31/1,254.73
  6. Step 6: Final answer
    x = 786.34

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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.