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Finding the Fourth Proportional to 809.76, 1,117 and 547.84

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Solution

The fourth proportional to 809.76, 1,117 and 547.84 is: 755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.76 : 1,117 = 547.84 : x
  2. Step 2: Convert to fraction form
    809.76/1,117 = 547.84/x
  3. Step 3: Cross multiply
    809.76x = 1,117 × 547.84
  4. Step 4: Simplify right side
    809.76x = 611,937.28
  5. Step 5: Solve for x
    x = 611,937.28/809.76
  6. Step 6: Final answer
    x = 755.70

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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.