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Finding the Fourth Proportional to 705.85, 973.89 and 426.08

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Solution

The fourth proportional to 705.85, 973.89 and 426.08 is: 587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.85 : 973.89 = 426.08 : x
  2. Step 2: Convert to fraction form
    705.85/973.89 = 426.08/x
  3. Step 3: Cross multiply
    705.85x = 973.89 × 426.08
  4. Step 4: Simplify right side
    705.85x = 414,957.49
  5. Step 5: Solve for x
    x = 414,957.49/705.85
  6. Step 6: Final answer
    x = 587.89

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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.