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Finding the Fourth Proportional to 1,358.73, 2,038.87 and 809.76

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Solution

The fourth proportional to 1,358.73, 2,038.87 and 809.76 is: 1,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.73 : 2,038.87 = 809.76 : x
  2. Step 2: Convert to fraction form
    1,358.73/2,038.87 = 809.76/x
  3. Step 3: Cross multiply
    1,358.73x = 2,038.87 × 809.76
  4. Step 4: Simplify right side
    1,358.73x = 1,651,001.88
  5. Step 5: Solve for x
    x = 1,651,001.88/1,358.73
  6. Step 6: Final answer
    x = 1,215.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.