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Finding the Fourth Proportional to 809.73, 1,117.44 and 460.40

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Solution

The fourth proportional to 809.73, 1,117.44 and 460.40 is: 635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.73 : 1,117.44 = 460.40 : x
  2. Step 2: Convert to fraction form
    809.73/1,117.44 = 460.40/x
  3. Step 3: Cross multiply
    809.73x = 1,117.44 × 460.40
  4. Step 4: Simplify right side
    809.73x = 514,463.79
  5. Step 5: Solve for x
    x = 514,463.79/809.73
  6. Step 6: Final answer
    x = 635.35

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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.