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Finding the Fourth Proportional to 809.64, 1,214.40 and 261.77

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Solution

The fourth proportional to 809.64, 1,214.40 and 261.77 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.64 : 1,214.40 = 261.77 : x
  2. Step 2: Convert to fraction form
    809.64/1,214.40 = 261.77/x
  3. Step 3: Cross multiply
    809.64x = 1,214.40 × 261.77
  4. Step 4: Simplify right side
    809.64x = 317,897.51
  5. Step 5: Solve for x
    x = 317,897.51/809.64
  6. Step 6: Final answer
    x = 392.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.