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Finding the Fourth Proportional to 1,428.11, 1,970.77 and 798.63

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Solution

The fourth proportional to 1,428.11, 1,970.77 and 798.63 is: 1,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.11 : 1,970.77 = 798.63 : x
  2. Step 2: Convert to fraction form
    1,428.11/1,970.77 = 798.63/x
  3. Step 3: Cross multiply
    1,428.11x = 1,970.77 × 798.63
  4. Step 4: Simplify right side
    1,428.11x = 1,573,911.02
  5. Step 5: Solve for x
    x = 1,573,911.02/1,428.11
  6. Step 6: Final answer
    x = 1,102.10

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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.