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Finding the Fourth Proportional to 785.84, 1,082.88 and 564.16

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Solution

The fourth proportional to 785.84, 1,082.88 and 564.16 is: 777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.84 : 1,082.88 = 564.16 : x
  2. Step 2: Convert to fraction form
    785.84/1,082.88 = 564.16/x
  3. Step 3: Cross multiply
    785.84x = 1,082.88 × 564.16
  4. Step 4: Simplify right side
    785.84x = 610,917.58
  5. Step 5: Solve for x
    x = 610,917.58/785.84
  6. Step 6: Final answer
    x = 777.41

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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.