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Finding the Fourth Proportional to 1,401.76, 1,933.77 and 904.55

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Solution

The fourth proportional to 1,401.76, 1,933.77 and 904.55 is: 1,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.76 : 1,933.77 = 904.55 : x
  2. Step 2: Convert to fraction form
    1,401.76/1,933.77 = 904.55/x
  3. Step 3: Cross multiply
    1,401.76x = 1,933.77 × 904.55
  4. Step 4: Simplify right side
    1,401.76x = 1,749,196.49
  5. Step 5: Solve for x
    x = 1,749,196.49/1,401.76
  6. Step 6: Final answer
    x = 1,247.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.