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Finding the Fourth Proportional to 796.32, 1,201.32 and 766.08

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Solution

The fourth proportional to 796.32, 1,201.32 and 766.08 is: 1,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,201.32 = 766.08 : x
  2. Step 2: Convert to fraction form
    796.32/1,201.32 = 766.08/x
  3. Step 3: Cross multiply
    796.32x = 1,201.32 × 766.08
  4. Step 4: Simplify right side
    796.32x = 920,307.23
  5. Step 5: Solve for x
    x = 920,307.23/796.32
  6. Step 6: Final answer
    x = 1,155.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.