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Finding the Fourth Proportional to 709.13, 1,064.00 and 493.07

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Solution

The fourth proportional to 709.13, 1,064.00 and 493.07 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.13 : 1,064.00 = 493.07 : x
  2. Step 2: Convert to fraction form
    709.13/1,064.00 = 493.07/x
  3. Step 3: Cross multiply
    709.13x = 1,064.00 × 493.07
  4. Step 4: Simplify right side
    709.13x = 524,622.39
  5. Step 5: Solve for x
    x = 524,622.39/709.13
  6. Step 6: Final answer
    x = 739.81

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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.