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Finding the Fourth Proportional to 1,287.05, 1,930.03 and 556.10

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Solution

The fourth proportional to 1,287.05, 1,930.03 and 556.10 is: 833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.05 : 1,930.03 = 556.10 : x
  2. Step 2: Convert to fraction form
    1,287.05/1,930.03 = 556.10/x
  3. Step 3: Cross multiply
    1,287.05x = 1,930.03 × 556.10
  4. Step 4: Simplify right side
    1,287.05x = 1,073,299.86
  5. Step 5: Solve for x
    x = 1,073,299.86/1,287.05
  6. Step 6: Final answer
    x = 833.92

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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.