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Finding the Fourth Proportional to 709.80, 1,063.20 and 435.96

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Solution

The fourth proportional to 709.80, 1,063.20 and 435.96 is: 653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.80 : 1,063.20 = 435.96 : x
  2. Step 2: Convert to fraction form
    709.80/1,063.20 = 435.96/x
  3. Step 3: Cross multiply
    709.80x = 1,063.20 × 435.96
  4. Step 4: Simplify right side
    709.80x = 463,512.67
  5. Step 5: Solve for x
    x = 463,512.67/709.80
  6. Step 6: Final answer
    x = 653.02

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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.