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Finding the Fourth Proportional to 1,503.46, 2,254.57 and 625.36

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Solution

The fourth proportional to 1,503.46, 2,254.57 and 625.36 is: 937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.46 : 2,254.57 = 625.36 : x
  2. Step 2: Convert to fraction form
    1,503.46/2,254.57 = 625.36/x
  3. Step 3: Cross multiply
    1,503.46x = 2,254.57 × 625.36
  4. Step 4: Simplify right side
    1,503.46x = 1,409,917.90
  5. Step 5: Solve for x
    x = 1,409,917.90/1,503.46
  6. Step 6: Final answer
    x = 937.78

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