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Finding the Fourth Proportional to 709.62, 1,064.19 and 435.84

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Solution

The fourth proportional to 709.62, 1,064.19 and 435.84 is: 653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.62 : 1,064.19 = 435.84 : x
  2. Step 2: Convert to fraction form
    709.62/1,064.19 = 435.84/x
  3. Step 3: Cross multiply
    709.62x = 1,064.19 × 435.84
  4. Step 4: Simplify right side
    709.62x = 463,816.57
  5. Step 5: Solve for x
    x = 463,816.57/709.62
  6. Step 6: Final answer
    x = 653.61

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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.