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Finding the Fourth Proportional to 1,428.77, 1,971.95 and 839.63

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Solution

The fourth proportional to 1,428.77, 1,971.95 and 839.63 is: 1,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.77 : 1,971.95 = 839.63 : x
  2. Step 2: Convert to fraction form
    1,428.77/1,971.95 = 839.63/x
  3. Step 3: Cross multiply
    1,428.77x = 1,971.95 × 839.63
  4. Step 4: Simplify right side
    1,428.77x = 1,655,709.11
  5. Step 5: Solve for x
    x = 1,655,709.11/1,428.77
  6. Step 6: Final answer
    x = 1,158.83

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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.