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Finding the Fourth Proportional to 796.70, 1,193.23 and 386.13

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Solution

The fourth proportional to 796.70, 1,193.23 and 386.13 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.70 : 1,193.23 = 386.13 : x
  2. Step 2: Convert to fraction form
    796.70/1,193.23 = 386.13/x
  3. Step 3: Cross multiply
    796.70x = 1,193.23 × 386.13
  4. Step 4: Simplify right side
    796.70x = 460,741.90
  5. Step 5: Solve for x
    x = 460,741.90/796.70
  6. Step 6: Final answer
    x = 578.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.