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Finding the Fourth Proportional to 709.15, 1,062.34 and 464.93

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Solution

The fourth proportional to 709.15, 1,062.34 and 464.93 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.15 : 1,062.34 = 464.93 : x
  2. Step 2: Convert to fraction form
    709.15/1,062.34 = 464.93/x
  3. Step 3: Cross multiply
    709.15x = 1,062.34 × 464.93
  4. Step 4: Simplify right side
    709.15x = 493,911.41
  5. Step 5: Solve for x
    x = 493,911.41/709.15
  6. Step 6: Final answer
    x = 696.49

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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.