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Finding the Fourth Proportional to 707.13, 975.83 and 431.13

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Solution

The fourth proportional to 707.13, 975.83 and 431.13 is: 594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.13 : 975.83 = 431.13 : x
  2. Step 2: Convert to fraction form
    707.13/975.83 = 431.13/x
  3. Step 3: Cross multiply
    707.13x = 975.83 × 431.13
  4. Step 4: Simplify right side
    707.13x = 420,709.59
  5. Step 5: Solve for x
    x = 420,709.59/707.13
  6. Step 6: Final answer
    x = 594.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.