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Finding the Fourth Proportional to 1,473.10, 2,032.78 and 809.98

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Solution

The fourth proportional to 1,473.10, 2,032.78 and 809.98 is: 1,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.10 : 2,032.78 = 809.98 : x
  2. Step 2: Convert to fraction form
    1,473.10/2,032.78 = 809.98/x
  3. Step 3: Cross multiply
    1,473.10x = 2,032.78 × 809.98
  4. Step 4: Simplify right side
    1,473.10x = 1,646,511.14
  5. Step 5: Solve for x
    x = 1,646,511.14/1,473.10
  6. Step 6: Final answer
    x = 1,117.72

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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.