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Finding the Fourth Proportional to 783.02, 1,180.30 and 717.29

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Solution

The fourth proportional to 783.02, 1,180.30 and 717.29 is: 1,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.02 : 1,180.30 = 717.29 : x
  2. Step 2: Convert to fraction form
    783.02/1,180.30 = 717.29/x
  3. Step 3: Cross multiply
    783.02x = 1,180.30 × 717.29
  4. Step 4: Simplify right side
    783.02x = 846,613.80
  5. Step 5: Solve for x
    x = 846,613.80/783.02
  6. Step 6: Final answer
    x = 1,081.22

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