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Finding the Fourth Proportional to 774.77, 1,068.23 and 553.64

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Solution

The fourth proportional to 774.77, 1,068.23 and 553.64 is: 763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.77 : 1,068.23 = 553.64 : x
  2. Step 2: Convert to fraction form
    774.77/1,068.23 = 553.64/x
  3. Step 3: Cross multiply
    774.77x = 1,068.23 × 553.64
  4. Step 4: Simplify right side
    774.77x = 591,412.09
  5. Step 5: Solve for x
    x = 591,412.09/774.77
  6. Step 6: Final answer
    x = 763.34

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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.