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Finding the Fourth Proportional to 709.20, 1,063.80 and 417.60

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Solution

The fourth proportional to 709.20, 1,063.80 and 417.60 is: 626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.20 : 1,063.80 = 417.60 : x
  2. Step 2: Convert to fraction form
    709.20/1,063.80 = 417.60/x
  3. Step 3: Cross multiply
    709.20x = 1,063.80 × 417.60
  4. Step 4: Simplify right side
    709.20x = 444,242.88
  5. Step 5: Solve for x
    x = 444,242.88/709.20
  6. Step 6: Final answer
    x = 626.40

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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.