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Finding the Fourth Proportional to 809.69, 1,117.99 and 632.34

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Solution

The fourth proportional to 809.69, 1,117.99 and 632.34 is: 873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.69 : 1,117.99 = 632.34 : x
  2. Step 2: Convert to fraction form
    809.69/1,117.99 = 632.34/x
  3. Step 3: Cross multiply
    809.69x = 1,117.99 × 632.34
  4. Step 4: Simplify right side
    809.69x = 706,947.58
  5. Step 5: Solve for x
    x = 706,947.58/809.69
  6. Step 6: Final answer
    x = 873.11

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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.