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Finding the Fourth Proportional to 709.68, 1,064.64 and 420.78

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Solution

The fourth proportional to 709.68, 1,064.64 and 420.78 is: 631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.68 : 1,064.64 = 420.78 : x
  2. Step 2: Convert to fraction form
    709.68/1,064.64 = 420.78/x
  3. Step 3: Cross multiply
    709.68x = 1,064.64 × 420.78
  4. Step 4: Simplify right side
    709.68x = 447,979.22
  5. Step 5: Solve for x
    x = 447,979.22/709.68
  6. Step 6: Final answer
    x = 631.24

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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.