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Finding the Fourth Proportional to 1,256.28, 1,884.34 and 390.57

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Solution

The fourth proportional to 1,256.28, 1,884.34 and 390.57 is: 585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.28 : 1,884.34 = 390.57 : x
  2. Step 2: Convert to fraction form
    1,256.28/1,884.34 = 390.57/x
  3. Step 3: Cross multiply
    1,256.28x = 1,884.34 × 390.57
  4. Step 4: Simplify right side
    1,256.28x = 735,966.67
  5. Step 5: Solve for x
    x = 735,966.67/1,256.28
  6. Step 6: Final answer
    x = 585.83

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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.