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Finding the Fourth Proportional to 720.23, 998.46 and 683.24

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Solution

The fourth proportional to 720.23, 998.46 and 683.24 is: 947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.23 : 998.46 = 683.24 : x
  2. Step 2: Convert to fraction form
    720.23/998.46 = 683.24/x
  3. Step 3: Cross multiply
    720.23x = 998.46 × 683.24
  4. Step 4: Simplify right side
    720.23x = 682,182.82
  5. Step 5: Solve for x
    x = 682,182.82/720.23
  6. Step 6: Final answer
    x = 947.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.