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Finding the Fourth Proportional to 1,398.53, 1,930.32 and 809.41

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Solution

The fourth proportional to 1,398.53, 1,930.32 and 809.41 is: 1,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.53 : 1,930.32 = 809.41 : x
  2. Step 2: Convert to fraction form
    1,398.53/1,930.32 = 809.41/x
  3. Step 3: Cross multiply
    1,398.53x = 1,930.32 × 809.41
  4. Step 4: Simplify right side
    1,398.53x = 1,562,420.31
  5. Step 5: Solve for x
    x = 1,562,420.31/1,398.53
  6. Step 6: Final answer
    x = 1,117.19

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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.