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Finding the Fourth Proportional to 1,256.96, 1,885.64 and 391.07

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Solution

The fourth proportional to 1,256.96, 1,885.64 and 391.07 is: 586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.96 : 1,885.64 = 391.07 : x
  2. Step 2: Convert to fraction form
    1,256.96/1,885.64 = 391.07/x
  3. Step 3: Cross multiply
    1,256.96x = 1,885.64 × 391.07
  4. Step 4: Simplify right side
    1,256.96x = 737,405.85
  5. Step 5: Solve for x
    x = 737,405.85/1,256.96
  6. Step 6: Final answer
    x = 586.66

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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.