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Finding the Fourth Proportional to 848.03, 1,169.64 and 730.21

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Solution

The fourth proportional to 848.03, 1,169.64 and 730.21 is: 1,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.03 : 1,169.64 = 730.21 : x
  2. Step 2: Convert to fraction form
    848.03/1,169.64 = 730.21/x
  3. Step 3: Cross multiply
    848.03x = 1,169.64 × 730.21
  4. Step 4: Simplify right side
    848.03x = 854,084.84
  5. Step 5: Solve for x
    x = 854,084.84/848.03
  6. Step 6: Final answer
    x = 1,007.14

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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.