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Finding the Fourth Proportional to 774.40, 1,068.64 and 494.24

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Solution

The fourth proportional to 774.40, 1,068.64 and 494.24 is: 682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.40 : 1,068.64 = 494.24 : x
  2. Step 2: Convert to fraction form
    774.40/1,068.64 = 494.24/x
  3. Step 3: Cross multiply
    774.40x = 1,068.64 × 494.24
  4. Step 4: Simplify right side
    774.40x = 528,164.63
  5. Step 5: Solve for x
    x = 528,164.63/774.40
  6. Step 6: Final answer
    x = 682.03

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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.