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Finding the Fourth Proportional to 809.64, 1,117.32 and 460.32

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Solution

The fourth proportional to 809.64, 1,117.32 and 460.32 is: 635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.64 : 1,117.32 = 460.32 : x
  2. Step 2: Convert to fraction form
    809.64/1,117.32 = 460.32/x
  3. Step 3: Cross multiply
    809.64x = 1,117.32 × 460.32
  4. Step 4: Simplify right side
    809.64x = 514,324.74
  5. Step 5: Solve for x
    x = 514,324.74/809.64
  6. Step 6: Final answer
    x = 635.25

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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.