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Finding the Fourth Proportional to 767.07, 1,057.05 and 730.22

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Solution

The fourth proportional to 767.07, 1,057.05 and 730.22 is: 1,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.07 : 1,057.05 = 730.22 : x
  2. Step 2: Convert to fraction form
    767.07/1,057.05 = 730.22/x
  3. Step 3: Cross multiply
    767.07x = 1,057.05 × 730.22
  4. Step 4: Simplify right side
    767.07x = 771,873.77
  5. Step 5: Solve for x
    x = 771,873.77/767.07
  6. Step 6: Final answer
    x = 1,006.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.