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Finding the Fourth Proportional to 720.34, 1,079.54 and 412.08

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Solution

The fourth proportional to 720.34, 1,079.54 and 412.08 is: 617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.34 : 1,079.54 = 412.08 : x
  2. Step 2: Convert to fraction form
    720.34/1,079.54 = 412.08/x
  3. Step 3: Cross multiply
    720.34x = 1,079.54 × 412.08
  4. Step 4: Simplify right side
    720.34x = 444,856.84
  5. Step 5: Solve for x
    x = 444,856.84/720.34
  6. Step 6: Final answer
    x = 617.57

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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.