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Finding the Fourth Proportional to 774.77, 1,068.84 and 494.51

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Solution

The fourth proportional to 774.77, 1,068.84 and 494.51 is: 682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.77 : 1,068.84 = 494.51 : x
  2. Step 2: Convert to fraction form
    774.77/1,068.84 = 494.51/x
  3. Step 3: Cross multiply
    774.77x = 1,068.84 × 494.51
  4. Step 4: Simplify right side
    774.77x = 528,546.72
  5. Step 5: Solve for x
    x = 528,546.72/774.77
  6. Step 6: Final answer
    x = 682.20

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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.