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Finding the Fourth Proportional to 709.99, 1,065.66 and 436.61

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Solution

The fourth proportional to 709.99, 1,065.66 and 436.61 is: 655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.99 : 1,065.66 = 436.61 : x
  2. Step 2: Convert to fraction form
    709.99/1,065.66 = 436.61/x
  3. Step 3: Cross multiply
    709.99x = 1,065.66 × 436.61
  4. Step 4: Simplify right side
    709.99x = 465,277.81
  5. Step 5: Solve for x
    x = 465,277.81/709.99
  6. Step 6: Final answer
    x = 655.33

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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.