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Finding the Fourth Proportional to 809.84, 1,117.08 and 577.04

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Solution

The fourth proportional to 809.84, 1,117.08 and 577.04 is: 795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.84 : 1,117.08 = 577.04 : x
  2. Step 2: Convert to fraction form
    809.84/1,117.08 = 577.04/x
  3. Step 3: Cross multiply
    809.84x = 1,117.08 × 577.04
  4. Step 4: Simplify right side
    809.84x = 644,599.84
  5. Step 5: Solve for x
    x = 644,599.84/809.84
  6. Step 6: Final answer
    x = 795.96

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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.