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Finding the Fourth Proportional to 720.33, 1,081.58 and 412.53

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Solution

The fourth proportional to 720.33, 1,081.58 and 412.53 is: 619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.33 : 1,081.58 = 412.53 : x
  2. Step 2: Convert to fraction form
    720.33/1,081.58 = 412.53/x
  3. Step 3: Cross multiply
    720.33x = 1,081.58 × 412.53
  4. Step 4: Simplify right side
    720.33x = 446,184.20
  5. Step 5: Solve for x
    x = 446,184.20/720.33
  6. Step 6: Final answer
    x = 619.42

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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.