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Finding the Fourth Proportional to 1,477.64, 2,039.11 and 839.70

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Solution

The fourth proportional to 1,477.64, 2,039.11 and 839.70 is: 1,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.64 : 2,039.11 = 839.70 : x
  2. Step 2: Convert to fraction form
    1,477.64/2,039.11 = 839.70/x
  3. Step 3: Cross multiply
    1,477.64x = 2,039.11 × 839.70
  4. Step 4: Simplify right side
    1,477.64x = 1,712,238.57
  5. Step 5: Solve for x
    x = 1,712,238.57/1,477.64
  6. Step 6: Final answer
    x = 1,158.76

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Why These Related Problems?

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