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Finding the Fourth Proportional to 709.82, 1,064.76 and 435.74

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Solution

The fourth proportional to 709.82, 1,064.76 and 435.74 is: 653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.82 : 1,064.76 = 435.74 : x
  2. Step 2: Convert to fraction form
    709.82/1,064.76 = 435.74/x
  3. Step 3: Cross multiply
    709.82x = 1,064.76 × 435.74
  4. Step 4: Simplify right side
    709.82x = 463,958.52
  5. Step 5: Solve for x
    x = 463,958.52/709.82
  6. Step 6: Final answer
    x = 653.63

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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.