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Finding the Fourth Proportional to 776.22, 1,070.64 and 496.16

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Solution

The fourth proportional to 776.22, 1,070.64 and 496.16 is: 684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.22 : 1,070.64 = 496.16 : x
  2. Step 2: Convert to fraction form
    776.22/1,070.64 = 496.16/x
  3. Step 3: Cross multiply
    776.22x = 1,070.64 × 496.16
  4. Step 4: Simplify right side
    776.22x = 531,208.74
  5. Step 5: Solve for x
    x = 531,208.74/776.22
  6. Step 6: Final answer
    x = 684.35

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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.