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Finding the Fourth Proportional to 705.84, 973.90 and 426.09

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Solution

The fourth proportional to 705.84, 973.90 and 426.09 is: 587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 973.90 = 426.09 : x
  2. Step 2: Convert to fraction form
    705.84/973.90 = 426.09/x
  3. Step 3: Cross multiply
    705.84x = 973.90 × 426.09
  4. Step 4: Simplify right side
    705.84x = 414,963.82
  5. Step 5: Solve for x
    x = 414,963.82/705.84
  6. Step 6: Final answer
    x = 587.90

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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.